Algebra 2 2-7 Guided Practice: Absolute Value Functions and Graphs

by Matthew Richardson

| 10 Questionsa

1

Solve It! You jog at a constant speed. Your jogging route takes you across the county line.

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10

Suppose you graph your distance from the county line with respect to time. Which of the following graphs is most reasonable? Assume that your jogging route is a straight road.

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10

Problem 1 Got It? What is the graph of the function y = |x| + 2? Graph the function on the canvas. Use colors other than black.

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10

Problem 1 Got It: Graph the parent function and translated function on the same plane. Zoom and pan your graph to leave an appropriate scale and viewing window.

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10

Problem 1 Got It: How is the graph of y = |x| + 2 related to the graph of its parent function y = |x|?

The graph is translated 2 units to the left of the graph of the parent function.

The graph is translated 2 units down from the graph of the parent function.

The graph is translated 2 units to the right of the graph of the parent function.

The graph is translated 2 units up from the graph of the parent function.

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10

Problem 1 Got It? Reasoning: Do transformations of the form y =|x|+ k affect the axis of symmetry? Explain.

You may use this pre-made Desmos graph to analyze the effects of k on the parent function here. Drag the slider in the second row to see how different values of k impact the graph.

No, the value of k does not affect the axis of symmetry.

Yes, the value of k does affect the axis of symmetry. It moves it horizontally.

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Problem 2 Got It? What is the graph of the function? Graph the function on the canvas. Use a color other than black.

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Problem 3 Got It? What is the graph of the function? Graph the function on the canvas. Use a color other than black.

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10

Problem 3 Got It? What is the graph of the function? Graph the function on the canvas. Use a color other than black.

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9

10

Problem 4 Got It?

A

B

C

D

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10

1

Problem 5 Got It?

A

B

C

D

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