6. Example: Describe the sequence of transformations that will produce the graph of g(x) from the graph of f(x) when f(x) Ixl and g(x) = -3|2x + 4| – 5 Answer: 1. A horizontal compression by a factor of ½ 2. A horizontal translation (shift) 4 units to the left. 3. A vertical stretch by a factor of 3 4. A reflection across the x-axis 5. A vertical translation (shift) 5 units down. Now that you have seen this example. Describe the sequence of transformations that will produce the graph of g(x) from the -5(x - 2)2 + 8 %3D granh of f(x) when f(x) and g(x)
6. Example: Describe the sequence of transformations that will produce the graph of g(x) from the graph of f(x) when f(x) Ixl and g(x) = -3|2x + 4| – 5 Answer: 1. A horizontal compression by a factor of ½ 2. A horizontal translation (shift) 4 units to the left. 3. A vertical stretch by a factor of 3 4. A reflection across the x-axis 5. A vertical translation (shift) 5 units down. Now that you have seen this example. Describe the sequence of transformations that will produce the graph of g(x) from the -5(x - 2)2 + 8 %3D granh of f(x) when f(x) and g(x)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
Related questions
Question
Transcribed Image Text:6. Example: Describe the sequence of transformations that will produce the graph of g(x)
from the graph of f(x) when f(x)
= |x| and g(x) = -3|2x + 4| – 5
Answer:
1. A horizontal compression by a factor of ½
2. A horizontal translation (shift) 4 units to the left.
3. A vertical stretch by a factor of 3
4. A reflection across the x-axis
5. A vertical translation (shift) 5 units down.
Now that you have seen this example..
Describe the sequence of transformations that will produce the graph of g(x) from the
graph of f(x) when f (x) = x² and g(x) = -5(x – 2)² + 8
7. Suppose f (x) = x°. Write a function g(x) whose graph can be obtained by
translating the graph of f(x) 7 units to the left, stretching the graph of f(x) vertically by a
factor of 3, reflecting the graph of f(x) across the x-axis, and translating the graph of
f(x) 2 units down.
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