Real math help.
How Do You Reflect a Function?
Note:
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!
Background Tutorials
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Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
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What's a Function?
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!
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Lines are taken to lines, and line segments to line segments of the same length.
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What is a Transformation?
Transformations can be really fun! They allow you to change or move a figure. In this tutorial, learn about all the different kinds of transformations!
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Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
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What is a Reflection?
When you look in the mirror, you see your reflection. In math, you can create mirror images of figures by reflecting them over a given line. This tutorial introduces you to reflections and shows you some examples of reflections. Take a look!
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Further Exploration
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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 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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