1. 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
46)
y = 4
x = 3

2. 2.7: Absolute Value Functions and Transformations
4/10/2019 1:35 AM
2.7: Absolute Value Functions and Transformations

3. 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
y = 3.82
17)
Line of best fit is not accurate
19)
y = 0.05x
25)
y = 97.7x

4. 2.7: Absolute Value Functions and Transformations
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Absolute Value Functions & Transformations
Section 2.7
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2.7: Absolute Value Functions and Transformations

5. 2.7: Absolute Value Functions and Transformations
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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
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2.7: Absolute Value Functions and Transformations

6. 2.7: Absolute Value Functions and Transformations
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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
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2.7: Absolute Value Functions and Transformations

7. 2.7: Absolute Value Functions and Transformations
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Example 1
Graph y = |x + 4| – 2 and compare it with the graph of y = |x|
Identify the vertex:
Remember to take the opposite
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2.7: Absolute Value Functions and Transformations

8. 2.7: Absolute Value Functions and Transformations
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Example 1
Graph y = |x + 4| – 2 and compare it with the graph of y = |x|
Identify a and plot more points
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2.7: Absolute Value Functions and Transformations

9. 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.
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2.7: Absolute Value Functions and Transformations

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

11. 2.7: Absolute Value Functions and Transformations
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Your Turn
Graph y = –3|x + 1| – 2 and compare it with the graph of y = |x|
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2.7: Absolute Value Functions and Transformations

12. 2.7: Absolute Value Functions and Transformations
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Assignment
Pg 127
3-19 odd, 29, 31, 37
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2.7: Absolute Value Functions and Transformations