The graph of the function y = x4 is transformed to the graph of the function y = –2(x – 3)4 + 1 by   Question 19 options:   a)  a vertical compression by a factor of , a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up   b)  a horizontal stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up   c)  a vertical stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up   d)  a vertical stretch by factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 56E
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The graph of the function y = x4 is transformed to the graph of the function y = –2(x – 3)4 + 1 by
 

Question 19 options:

 

a) 

a vertical compression by a factor of , a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up
 

b) 

a horizontal stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up
 

c) 

a vertical stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up
 

d) 

a vertical stretch by factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up
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