Describe the sequence of transformations from the related common function f(x) = x3 to g. g (x) = 4(x – 4)3 O a. vertical shift 4 units up; then vertical shrink by a factor of 4 O b.horizontal shift 4 units left; then vertical stretch by a factor of 4 O c. horizontal shift 4 units left; then vertical shrink by a factor of 4 O d. horizontal shift 4 units right; then vertical stretch by a factor of 4 O e. vertical shift 4 units down; then vertical shrink by a factor of 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Describe the sequence of transformations from the related common function f(x) = x to g.
g(x) = 4(x – 4)3
O a. vertical shift 4 units up; then vertical shrink by a factor of 4
O b. horizontal shift 4 units left; then vertical stretch by a factor of 4
O c. horizontal shift 4 units left; then vertical shrink by a factor of 4
O d. horizontal shift 4 units right; then vertical stretch by a factor of 4
O e. vertical shift 4 units down; then vertical shrink by a factor of 4
Transcribed Image Text:Describe the sequence of transformations from the related common function f(x) = x to g. g(x) = 4(x – 4)3 O a. vertical shift 4 units up; then vertical shrink by a factor of 4 O b. horizontal shift 4 units left; then vertical stretch by a factor of 4 O c. horizontal shift 4 units left; then vertical shrink by a factor of 4 O d. horizontal shift 4 units right; then vertical stretch by a factor of 4 O e. vertical shift 4 units down; then vertical shrink by a factor of 4
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