Question

3. The function y = x³ has undergone the following sets of transformations. If y = x³ passes through the points (1, 1), (3, 27), and (4, 64), list the coordinates of these transformed points on each new curve. a) reflected in the y-axis, horizontally stretched by a factor of 2, and vertically translated 2 units up b) vertically compressed by a factor of 1/2, horizontally stretched by a factor of 4, and vertically translated 6 units down c) horizontally stretched by a factor of 3, horizontally translated 3 units to the left, and vertically translated 3 units down

          3. The function y = x³ has undergone the following sets of transformations. If y = x³ passes through the points (1, 1), (3, 27), and (4, 64), list the coordinates of these transformed points on each new curve.

a) reflected in the y-axis, horizontally stretched by a factor of 2, and vertically translated 2 units up

b) vertically compressed by a factor of 1/2, horizontally stretched by a factor of 4, and vertically translated 6 units down

c) horizontally stretched by a factor of 3, horizontally translated 3 units to the left, and vertically translated 3 units down

3. The function y = x³ has undergone the following sets of transformations. If y = x³ passes through the points (1, 1), (3, 27), and (4, 64), list the coordinates of these transformed points on each new curve.

a) reflected in the y-axis, horizontally stretched by a factor of 2, and vertically translated 2 units up

b) vertically compressed by a factor of 1/2, horizontally stretched by a factor of 4, and vertically translated 6 units down

c) horizontally stretched by a factor of 3, horizontally translated 3 units to the left, and vertically translated 3 units down

Added by Samuel J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Babita Kumari

01/30/2022

Step 1

Horizontally stretching by a factor of 2 multiplies the x-coordinate by 2. Vertically translating 2 units up adds 2 to the y-coordinate. So, the transformed points are: (2,-1), (6,-1.73), and (8,-62). Show more…

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The function y = x³ has undergone the following sets of transformations. If y = x³ passes through the points (1, 1), (3, 27), and (4, 64), list the coordinates of these transformed points on each new curve. a) reflected in the y-axis, horizontally stretched by a factor of 2, and vertically translated 2 units up b) vertically compressed by a factor of 1/2, horizontally stretched by a factor of 4, and vertically translated 6 units down c) horizontally stretched by a factor of 3, horizontally translated 3 units to the left, and vertically translated 3 units down