Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

Popular Tutorials in Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

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  How Do You Write an Equation for a Translation of an Absolute Value Function?

  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.

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  What Does the Constant 'k' do in y = |x|+k?

  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.

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  What Does the Constant 'h' do in y = |x-h|?

  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.

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  What Does the Value of 'a' Do in the Exponential Function f(x)= a (bx)?

  Multiplying an exponential function by a constant changes the function's graph. Watch the tutorial to find out how!

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  What Does the Constant 'k' Do in the Function f(x)=[square root of](x)+k?

  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.

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  How Do You Horizontally Translate a Square Root Function?

  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.

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  How Do You Translate a 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!

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  How Do You Graph a Translation of a Function?

  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.

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  How Do You Reflect a Function?

  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!

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  How Do You Graph a Reflection of a Function?

  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.

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  How Do You Translate a Polynomial Function Vertically?

  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!

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  What Does the Constant 'k' Do to the Graph of f(x)=log(x)+k?

  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!

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  How Do You Horizontally Translate a Trigonometric Graph?

  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!