Question

Verify if my answers are correct.

1. The function y=x^3 has undergone the following sets of transformations. If y=x^3 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 factor of 2, vertically translated 2 units up

Answer:
(1,1)->(-2,3)
(3,27)->(-6,29
(4,64)->(-8,66)

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

Answer:

(1,1)->(4,-5.5)
(3,27)->(12,7.5)
(4,64)->(16,26)

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

(1,1)->(0,-2)
(3,27)->(6,24)
(4,64)->(9,58)

Thanks!