Describe the transformations that were applied to y = x³ to create y = ( ² (x + 3))³ – 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 3

Describe the transformations that were applied to y
were applied to y = x³ to
to create
y = ( ² (x + 3)) ³ − 2.
3
–
4
horizontally stretched by a factor of 3, horizontally translated units to the left,
and vertically translated 2 units down
horizontally stretched by a factor of, horizontally translated 3 units to the
left, and vertically translated 2 units down
3
horizontally stretched by a factor of, horizontally translated 2 units to the
right, and vertically translated 3 units up
horizontally stretched by a factor of, horizontally translated 3 units to the
left, and vertically translated 2 units down
Transcribed Image Text:Describe the transformations that were applied to y were applied to y = x³ to to create y = ( ² (x + 3)) ³ − 2. 3 – 4 horizontally stretched by a factor of 3, horizontally translated units to the left, and vertically translated 2 units down horizontally stretched by a factor of, horizontally translated 3 units to the left, and vertically translated 2 units down 3 horizontally stretched by a factor of, horizontally translated 2 units to the right, and vertically translated 3 units up horizontally stretched by a factor of, horizontally translated 3 units to the left, and vertically translated 2 units down
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