Page 101 25) y + 1 = –1/4(x – 3) or y = –1/4x – ¼ 27) y = –2(x – 3) 29) y – 5 = –1/4(x + 1) y – 4 = –1/4(x – 3) y = –1/4x + 19/4 31) y + 1 = –3(x – 4) y + 7 = –3(x – 6) y = –3x + 11 33) y – 7 = –2/3(x) y – 5 = –2/3(x – 3) y = –2/3x + 7 35) y + 2 = 5(x + 2) y – 8 = 5(x + 3) y = 5x + 23 3) y = 2 5) y = 6x 7) y = –5/4x + 7 9) y + 2 = 4x 11) y – 3 = 2(x + 4) 13) y – 13 = –9(x – 8) 15) y + 3 = –4/7(x – 7) 17) y + 5 = –1/3(x – 9) 19) X and Y were in wrong spots 21) y + 1 = –(x + 7) or y = –x + 8 23) y – 1 = –3(x – 4) or y = –3x + 13 37) y – 7 = –3(x – 3.5) y – 20.5 = –3(x + 1) y = –3x + 17.5 46) y = 4 x = 3

2.7: Absolute Value Functions and Transformations 4/10/2019 1:35 AM 2.7: Absolute Value Functions and Transformations

Page 117 3) Negative 5) No Correlation 7) r = 0 9) r = –1 11) y = –20x + 141 y = –259 13) y = 6.7x + 1 y = 135 15) y = –.025x + 4.35 y = 3.82 17) Line of best fit is not accurate 19) y = 0.05x + 1.14 25) y = 97.7x + 2153.5

2.7: Absolute Value Functions and Transformations 4/10/2019 Absolute Value Functions & Transformations Section 2.7 4/10/2019 1:35 AM 2.7: Absolute Value Functions and Transformations

2.7: Absolute Value Functions and Transformations 4/10/2019 Key Concepts Absolute Value Equation of a real number x as follows: Transformation changes a graph size, shape, position, or orientation. The parent function equation is y = a|x – h| + k For |a| > 1, the graph is vertically stretched or elongated; the graph is narrower For |a| < 1, the graph is vertically shrunk or compressed; the graph is wider h is the horizontal shift k is the vertical shift 4/10/2019 1:35 AM 2.7: Absolute Value Functions and Transformations

2.7: Absolute Value Functions and Transformations 4/10/2019 STEPS Identify and plot the vertex Plot another point by identifying the a and going from the vertex Connect the points with a V-shaped graph Make an arrowed line 4/10/2019 1:35 AM 2.7: Absolute Value Functions and Transformations

2.7: Absolute Value Functions and Transformations 4/10/2019 Example 1 Graph y = |x + 4| – 2 and compare it with the graph of y = |x| Identify the vertex: Remember to take the opposite 4/10/2019 1:35 AM 2.7: Absolute Value Functions and Transformations

2.7: Absolute Value Functions and Transformations 4/10/2019 Example 1 Graph y = |x + 4| – 2 and compare it with the graph of y = |x| Identify a and plot more points 4/10/2019 1:35 AM 2.7: Absolute Value Functions and Transformations

2.7: Absolute Value Functions and Transformations 4/10/2019 Example 1 Graph y = |x + 4| – 2 and compare it with the graph of y = |x| Connect the points and make the line arrowed. 4/10/2019 1:35 AM 2.7: Absolute Value Functions and Transformations

2.7: Absolute Value Functions and Transformations 4/10/2019 Example 2 Graph y = 1/4|x + 3| – 2 and compare it with the graph of y = |x| 4/10/2019 1:35 AM 2.7: Absolute Value Functions and Transformations

2.7: Absolute Value Functions and Transformations 4/10/2019 Your Turn Graph y = –3|x + 1| – 2 and compare it with the graph of y = |x| 4/10/2019 1:35 AM 2.7: Absolute Value Functions and Transformations

2.7: Absolute Value Functions and Transformations 4/10/2019 Assignment Pg 127 3-19 odd, 29, 31, 37 4/10/2019 1:35 AM 2.7: Absolute Value Functions and Transformations