Describe the transformations that were applied to the parent function f(x) in order to create a transformed function g(x). ƒ(2) = x³ g(x) = ((x+3)³) — 2 f(x) − horizontally stretched by factor of 3, horizontally translated 4/3 units to the left, and vertically translated 2 units down horizontally stretched by factor of 4/3, horizontally translated 3 units to the left, and vertically translated 2 units down none of the above horizontally stretched by factor of 3/4, horizontally translated 3 units to the left, and vertically translated 2 units down

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 13

Describe the transformations that were applied to the parent function f(x) in order to
create a transformed function g(x).
ƒ(x) = x³ g(x) = ( ² (x + 3) ³) − 2
· -
horizontally stretched by factor of 3, horizontally translated 4/3 units to the left,
and vertically translated 2 units down
horizontally stretched by factor of 4/3, horizontally translated 3 units to the left,
and vertically translated 2 units down
none of the above
horizontally stretched by factor of 3/4, horizontally translated 3 units to the left,
and vertically translated 2 units down
Transcribed Image Text:Describe the transformations that were applied to the parent function f(x) in order to create a transformed function g(x). ƒ(x) = x³ g(x) = ( ² (x + 3) ³) − 2 · - horizontally stretched by factor of 3, horizontally translated 4/3 units to the left, and vertically translated 2 units down horizontally stretched by factor of 4/3, horizontally translated 3 units to the left, and vertically translated 2 units down none of the above horizontally stretched by factor of 3/4, horizontally translated 3 units to the left, and vertically translated 2 units down
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