Want to write an equation to translate the graph of an absolute value equation? This tutorial takes you through that process step-by-step! Take an absolute value equation and perform a vertical and horizontal translation to create a new equation. Watch it all in this tutorial.
Graphing an absolute value equation can be complicated, unless you know how to dissect the equation to find and use the slope and translations. Follow along as this tutorial shows you how to identify the necessary parts of the equation and use them to graph the absolute value equation.
When you're learning about translating absolute value equations, learning about vertical translations is a MUST! Check out this tutorial and see what it takes to translate an absolute value equation vertically.
When you're learning about translating absolute value equations, learning about horizontal translations is a MUST! Check out this tutorial and see what it takes to translate an absolute value equation horizontally.
An absolute value function is just a function that contains absolute values. This tutorial gives a great introduction to this very useful function!
Graphing an exponential function? No sweat! Create a table of values to give you ordered pairs. Then, plot those ordered pair on a coordinate plane and connect the points to make your graph! Follow along with this tutorial as it shows you all the steps.
Take a look at how you identify exponential behavior from a pattern in your data. You'll also see how to figure out if that pattern represents exponential growth or exponential decay. Check it out!
If something increases at a constant rate, you may have exponential growth on your hands. In this tutorial, learn how to turn a word problem into an exponential growth function. Then, solve the function and get the answer!
If something decreases in value at a constant rate, you may have exponential decay on your hands. In this tutorial, learn how to turn a word problem into an exponential decay function. Then, solve the function and get the answer!
Trying to find the value of a certain term in a geometric sequence? Use the formula for finding the nth term in a geometric sequence to write a rule. Then use that rule to find the value of each term you want! This tutorial takes you through it step-by-step.
Word problems let you see math in the real world! This tutorial shows you how to create a table and identify a pattern from the word problem. Then you can see how to create an exponential function from the data and solve the function to get your answer!
Multiplying an exponential function by a constant changes the function's graph. Watch the tutorial to find out how!
Looking at an equation with a variable in the exponent? You have an exponential function! Learn about exponential functions in this tutorial.
Exponential functions often involve the rate of increase or decrease of something. When it's a rate of increase, you have an exponential growth function! Check out these kinds of exponential functions in this tutorial!
Exponential functions often involve the rate of increase or decrease of something. When it's a rate of decrease, you have an exponential decay function! Check out these kinds of exponential functions in this tutorial!
Trying to find the value of a certain term in a geometric sequence? Don't want to go through the terms one-by-one to find the one you want? Use the formula to find the nth term in a geometric sequence! This tutorial shows you how find that formula!
Graphing a rational function can be fun, especially when you make a table of values first! In this tutorial, you'll see how to make a table of ordered pairs that you can use to graph the rational function. Take a look!
Function rules are like instructions on how to change input values into their respective output values. In this tutorial, see how to write a function rule for a given relation. Check it out!
You can't go through algebra without learning about functions. This tutorial shows you the definition of a function and gives you an example of a function. Take a look!
Trying to write an equation in slope-intercept form? Have two points on your line? You'll need to find your slope and y-intercept. Watch this tutorial and see what needs to be done to write an equation in slope-intercept form!
Trying to find the common difference in an arithmetic sequence? You need to figure out what number you need to add to each term to get the next term in the sequence. It's easier than you might think! Watch this tutorial and learn how to find the common difference in an arithmetic sequence.
To find the next few terms in an arithmetic sequence, you first need to find the common difference, the constant amount of change between numbers in an arithmetic sequence. Once you know the common difference, you can use it to find those next terms! This tutorial takes you through that process, so be sure to check it out!
Got an arithmetic sequence? Trying to find a later term in that sequence? Don't want to keep adding the common difference to each term until you get to the one you want? Then use the equation for the nth term in an arithmetic sequence instead! This tutorial will show you how!
Looking for some practice with direct variation? Watch this tutorial, and get that practice! This tutorial shows you how to take given information and turn it into a direct variation equation. Then, see how to use that equation to find the value of one of the variables.
Looking for some practice with direct variation? Watch this tutorial, and get that practice! This tutorial shows you how to take a table of values and describe the relation using a direct variation equation.
To graph a vertical line that goes through a given point, first plot that point. Then draw a straight line up and down that goes through the point, and you're done! To see this process in action, watch this tutorial!
To graph a horizontal line that goes through a given point, first plot that point. Then draw a straight line left and right that goes through the point, and you're done! To see this process in action, watch this tutorial!
To find the x-intercept of a given linear equation, simply remove the 'y' and solve for 'x'. To find the y-intercept, remove the 'x' and solve for 'y'. In this tutorial, you'll see how to find the x-intercept and the y-intercept for a given linear equation. Check it out!
Trying to graph a line from a given slope and y-intercept? Think you need to find an equation first? Think again! In this tutorial, see how to use that given slope and y-intercept to graph the line.
Trying to write an equation in point-slope form? Got a point on the line and the slope? Plug those values correctly into the point-slope form of a line and you'll have your answer! Watch this tutorial to get all the details!
Trying to write an equation in point-slope form? Have two points but no slope? You'll need to use those points to find a slope first. Watch this tutorial and see what needs to be done to write an equation in point-slope form!
Get some practice with the point-slope form and standard form of an equation! This tutorial shows you how to use two given points to write an equation in both forms. Take a look!
Want to write an equation in slope-intercept form? Already have the slope and y-intercept? Perfect! Just correctly plug those values into your equation and you're done! Learn how in this tutorial.
When you have a linear equation, the x-intercept is the point where the graph of the line crosses the x-axis. In this tutorial, learn about the x-intercept. Check it out!
See a pattern in a sequence? It might be an arithmetic sequence! Learn about arithmetic sequences by watching this tutorial.
Did you know that the constant you add to a term in an arithmetic sequence to get the next term has a name? It's called a common difference! This tutorial is a great way to learn more about the common difference of an arithmetic sequence.
Trying to find the value of a certain term in an arithmetic sequence? Don't want to go through the terms one-by-one to find the one you want? Use the formula to find the nth term in an arithmetic sequence! This tutorial shows you how find that formula!
When you have a linear equation, the y-intercept is the point where the graph of the line crosses the y-axis. In this tutorial, learn about the y-intercept. Check it out!
The zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis. In this tutorial, you'll see how to use the graph of a quadratic equation to find the zeros of the equation. Take a look!
One of the many ways you can solve a quadratic equation is by factoring it. In this tutorial, you'll see how to factor a quadratic equation using the guess and check method of factoring. Then, use the zero product property to find the solution!
One of the many ways you can solve a quadratic equation is by completing the square. In this method, you want to turn one side of the equation into a perfect square trinomial. This tutorial takes you through the steps of solving a quadratic equation by completing the square. Check it out!
When you're trying to graph a quadratic equation, making a table of values can be really helpful. Before you make a table, first find the vertex of the quadratic equation. That way, you can pick values on either side to see what the graph does on either side of the vertex. Watch this tutorial to see how you can graph a quadratic equation!
The vertex of a quadratic equation is either a maximum or a minimum of the function. But how do you tell if it will be a maximum or a minimum? Watch this tutorial and find the answer to that question!
Graphs come in all sorts of shapes and sizes. In algebra, there are 3 basic types of graphs you'll see most often: linear, quadratic, and exponential. Check out this tutorial and learn how to determine is a graph represents a linear, quadratic, or exponential function!
Each quadratic equation has either a maximum or minimum, but did you that this point has a special name? In a quadratic equation, this point is called the vertex! Take a look at the vertex of a quadratic equation by watching this tutorial.
When you're dealing with quadratic functions, maximum and minimum are very likely to come up. This tutorial takes a look at the maximum of a quadratic function. Check it out!
When you're dealing with quadratic functions, maximum and minimum are very likely to come up. This tutorial takes a look at the minimum of a quadratic function. Check it out!
You can't go through algebra without seeing quadratic functions. The graphs of quadratic functions are parabolas; they tend to look like a smile or a frown. In this tutorial, get introduced to quadratic functions, look at their graphs, and see some examples of quadratic functions!
Making a table of values is a useful way to graph a square root function. Just remember to choose x-values for which the function is defined! Watch the tutorial to find out more.
When you're learning about translating square root functions, learning about vertical translations is a MUST! Check out this tutorial and see what it takes to translate a square root function vertically.
When you're learning about translating square root functions, learning about horizontal translations is a MUST! Check out this tutorial and see what it takes to translate a square root function horizontally.
Sometimes a word problem describes a situation that can be better understood if it were graphed. This tutorial gives an example of one such word problem. Check it out!
If two things are directly proportional, you can bet that you'll need to use the formula for direct variation to solve! In this tutorial, you'll see how to use the formula for direct variation to find the constant of variation and then solve for your answer.
Word problems are a great way to see math in the real world! In this tutorial, see how to figure out how long it will take for a rabbit population to go extinct. You'll also see how to set up a table and a graph to help find the answer!
Word problems are a great way to see math in action! This word problem deals with calculating profit after a certain number of years. See how to use a function from the word problem to solve!
Graphing a function? It would be really helpful if you had a table of values that fit your equation. You could plot those values on a coordinate plane and connect the point to make your graph. See it all in this tutorial!
To solve a function for a given value, plug that value into the function and simplify. See this first-hand by watching this tutorial!
Did you know that a relation has a domain? The domain of a relation is the set of the first coordinates from the ordered pairs. This tutorial defines the domain of a relation!
Did you know that a relation has a range? The range of a relation is the set of the second coordinates from the ordered pairs. This tutorial defines the range of a relation!
You can't go through algebra without learning about functions. This tutorial shows you a great approach to thinking about functions! Learn the definition of a function and see the different ways functions can be represented. Take a look!
Every see 'f(x)' in your math? That's function notation! It's a way to indicate that an equation is a function. Learn about function notation by watching this tutorial.
If you want to graph a piecewise linear function, graph each function on it's specific interval separately. Bring it all together, and you have your graph! This tutorial shows you the entire process for graphing a piecewise linear function.
Think about sliding a penny on a table. All you're doing is moving the penny to a new location on the table. That's basically all that's happening when you translate a function! When you translate a function, you're just sliding it to a new location on the coordinate plane!
A great way to better understand how to translate a function is to practice! This tutorial takes you through the steps of graphing a function that's been translated up and to the right.
When you look in the mirror, you see a reflection of yourself. Reflections in math involve flipping something over a line called the line of reflection. This tutorial shows you how to reflect a function over a chosen line!
When you're evaluating a function, you're usually given a number to plug in for the variable, but what if the expression you're plugging in contains other variables? See how to plug an expression with variables into a function! This tutorial will show you!
If you change a function like f(x) to f(-x), it flips the function over the y-axis! Follow along with this tutorial to see how to take a function and reflect it over the y-axis.
The graph of a linear function is a line. The graph of a quadratic function is a parabola. What does the graph of a cubic function look like? This tutorial introduces you to the basic (parent) function for cubic functions!
You can solve a quadratic equation by completing the square! This tutorial shows you the steps needed to solve a quadratic using this method.
The vertex form of a quadratic equation can help you quickly identify the vertex of that quadratic. Follow along with this tutorial to see how to use the completing the square method to change a quadratic equation from standard form to vertex form!
You can change a quadratic equation from standard form to vertex form by completing the square! This tutorial takes you through the process step-by-step.
Graphing a quadratic equation in intercept form is a breeze! All the information you need is in the equation. You just need to pick it out and use it. Follow along with this tutorial to see how to take an equation intercept form and use it to find the x-intercepts, vertex, and axis of symmetry.
How could you graph a complicated polynomial function? By making a table of course! In this tutorial, you'll see how a table is made and used to graph a higher order polynomial function.
Translating functions can be fun when you know what to do. This tutorial helps you practice translating a function and writing the new function and graph!
Adding functions is easier than you might think! Follow along with this tutorial to learn how to add two functions together.
If you want to solve a logarithm, you can rewrite it in exponential form and solve it that way! Follow along with this tutorial to practice solving a logarithm by first converting it to exponential form.
Rewriting a logarithm in exponential form can make solving easier. In this tutorial, you'll see how to take a logarithm and rewrite it in exponential form!
Having a problem in exponential form is great, but can you change it to logarithmic form? This tutorial shows you that process step-by-step!
If you're adding logarithms that have the same base, you can use the Product Property of Logarithms to make that job easier! Follow along with this tutorial to see how the Product Property of Logarithms is used to add logarithms with the same base.
Converting from exponential form to natural logarithmic form is easier than you might think! Follow along with this tutorial to see how to perform this conversion.
Rewriting a natural logarithm in exponential form can make solving easier. This tutorial shows you how to take a natural logarithm and convert it to exponential form!
Translating a logarithmic function vertically can be fun, especially when you know how it's done! This tutorial shows what it takes to shift a logarithmic function up and down!
Want to graph a natural base exponential function? Make a table of points! Then plot the points, connect them, and you have your graph! Follow along with this tutorial to see the entire process step-by-step.
Equations involving logarithms don't have to be scary. Just get rid of the logarithm by exponentiating and solve like any other equation! This tutorial shows you all the steps.
Logarithms can be tricky, but they become a whole lot easier if you understand how they're related to exponents. Follow along with the tutorial to learn about this relationship.
A natural logarithm is a logarithm that has a special base. In this tutorial, you'll be introduced to natural logarithms!
In math, 'e' isn't just a letter, it's an irrational number! This tutorial shows you how mathematicians use the letter 'e' to represent a specific value and how having a base of 'e' is called a natural base.
The natural base exponential function is actually a function that's shorter than its name! This tutorial introduces you to this special function and shows you what it looks like.
Understanding how angles are made in the coordinate plane is a big step towards understanding trigonometry. This tutorial shows you how an angle can be made in the coordinate plane!
You can use the unit circle to help you graph the cosine function! In this tutorial, you'll learn how to do exactly that!
If you want to make the graph of the tangent function, you can use the unit circle to help you plot points. This tutorial shows you how to use the unit circle to make the tangent function graph!
Periodic functions have some special qualities! In this tutorial, you'll be introduced to these functions and learn what a graph must have to be called a periodic function.
Translating a graph of sine or cosine horizontally can be fun, but you need to understand how it works. Follow along with this tutorial to learn how to horizontally shift the sine and cosine graphs!
If you already have a bank account or if you plan to have one in the future, then this tutorial is a must see! Follow along as this tutorial goes through a word problem involving compound interest.
Things like bank accounts, loans, investments, and mortgages are a part of life, and almost always, interest is involved. Sometimes, you need to deal with compound interest, so it would be good to know the formula for it! In this tutorial, you'll see the formula for compound interest. Take a look!
The rate of change is a rate that describes how one quantity changes in relation to another quantity. In this tutorial, practice finding the rate of change using a graph. Check it out!
The rate of change is a rate that describes how one quantity changes in relation to another quantity. This tutorial shows you how to use the information given in a table to find the rate of change between the values in the table. Take a look!
Working with the graph of a line? Trying to find the equation for that graph? Just pick two points on the line and use them to find the equation. This tutorial shows you how to take two points on the graph of a line and use them to find the slope-intercept form of the line!
Looking at a table of values that represents a linear equation? Want to find that equation? Then check out this tutorial! You'll see how to use values from a table to find the slope-intercept form of the line described in the table.
Looking at a table of values that represents a linear equation? Want to find that equation? Then check out this tutorial! You'll see how to use values from a table and the point-slope form of a line to find the slope-intercept form of the line described in the table.
Trying to describe the how something changes in relation to something else? Use rate of change! In this tutorial, learn about rate of change and see the difference between positive and negative rates of change!