Algebra 2 2-7 Complete Lesson: Absolute Value Functions and Graphs

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.

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.

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

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 vales of k impact the graph.

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

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

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

Reasoning: Is it true that without making a graph of an absolute value function, you can describe its position in the coordinate plane? Explain with an example function.

Graphing: Graph two absolute value functions such that they have a common vertex in Quadrant III and one is the reflection of the other in a [across a] horizontal line. Graph the functions. Zoom and pan your graph to leave an appropriate scale and viewing window.

Review Lesson 2-6: Write an equation for the transformation of the graph of y = x + 2.

2 units up, 3 units right

Review Lesson 2-6: Identify the functions that correspond to f(x) = 2x - 6 after the indicated reflections.

Review Lesson 2-5: Sketch a trend line for each scatter plot on the canvas. Use the line segment tool and colors other than black.

Vocabulary Review: Simplify the absolute value expression. Enter only a number.

Vocabulary Review: Simplify the absolute value expression. Enter only a number.

Vocabulary Review: Simplify the absolute value expression. Enter only a number.

Vocabulary Review: Simplify the absolute value expression. Enter only a number.

Use Your Vocabulary: Draw a line of symmetry through each figure on the canvas.

Use Your Vocabulary Identify the graph that does NOT show symmetry about the y-axis.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

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.