Algebra 2 2-7 Guided Practice: Absolute Value Functions and Graphs
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by Matthew Richardson
| 10 Questions
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Solve It! You jog at a constant speed. Your jogging route takes you across the county line.
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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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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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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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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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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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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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Problem 4 Got It?
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Problem 5 Got It?
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