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1) Answer based on the described transformations. a. If f(x) = x³, write a formula for y=f(x - 5) +10. Describe how the transformation has changed the graph of the basic function. b. If g(x)=e*, write a formula for y = g(x+3)-4. Describe how the transformation has changed the graph of the basic function. c. Suppose (5, 6) is on the graph of f(x). Determine a point on the graph of y=f(x-3)+8. Provide a brief explanation of your thinking.

1) Answer based on the described transformations. a. If f(x) = x³, write a formula for y=f(x - 5) +10. Describe how the transformation has changed the graph of the basic function. b. If g(x)=e*, write a formula for y = g(x+3)-4. Describe how the transformation has changed the graph of the basic function. c. Suppose (5, 6) is on the graph of f(x). Determine a point on the graph of y=f(x-3)+8. Provide a brief explanation of your thinking.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 1DE
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1) Answer based on the described transformations. a. If f(x) = x³, write a formula for y = f(x - 5) +10. Describe how the transformation has changed the graph of the basic function. b. If g(x)=e*, write a formula for y = g(x+3)-4. Describe how the transformation has changed the graph of the basic function. c. Suppose (5, 6) is on the graph of f(x). Determine a point on the graph of y=f(x-3)+8. Provide a brief explanation of your thinking.
Transcribed Image Text:1) Answer based on the described transformations. a. If f(x) = x³, write a formula for y = f(x - 5) +10. Describe how the transformation has changed the graph of the basic function. b. If g(x)=e*, write a formula for y = g(x+3)-4. Describe how the transformation has changed the graph of the basic function. c. Suppose (5, 6) is on the graph of f(x). Determine a point on the graph of y=f(x-3)+8. Provide a brief explanation of your thinking.
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