Section 2.7

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# Section 2.7 - PowerPoint PPT Presentation

Section 2.7. Use Absolute Value Functions and Transformations. Read all of p. 123. Example 1. Graph y = | x – 1 | + 3. Compare the graph with the graph of y = | x |. Comparison y = | x – 1 | + 3 translate y = | x | one unit to the right and three units up.

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Presentation Transcript
Section 2.7

Use Absolute Value Functions and Transformations

Example 1
• Graph y = | x – 1 | + 3. Compare the graph with the graph of y = | x |.
• Comparison
• y = | x – 1 | + 3 translate y = | x | one unit to the right and three units up.
Example 2
• Compare each graph with the graph y = | x |.
• Comparison
• (a) y = 1/3|x | is the graph of y = | x | vertically shrunk by a factor of 1/3
• (b) y = -2|x| is the graph of y = | x | vertically stretched by a factor of 2 and reflected over the x-axis.
Example 3
• Compare the graph with the graph of y = | x |.
• Comparison
• The graph of y = ¼| x + 3 | − 2 is the graph of
• y = | x |first vertically shrunk by a factor of ¼ then translated 3 units to the left and 2 units down.
Example 4
• A landscaper sketches the design for a triangular shrub protector on graph paper. Write an equation for the shrub protector.

The vertex is (5, 6).

A point on the graph is either (0, 0) or (10, 0). Now solve for a.

key concept on p. 126.

Example 5
• The graph of a
• function y = f (x) is
• shown. Sketch the
• graph of the given
• function.

HW:

• Thursday’s HW: Sections 2.5 and 2.6 Quiz Review
• Monday’s HW: pp. 127-129 (4-26 even, 32, 36, 38, 40)