The graph y = x^3 is compressed vertically by a factor of 1⁄2 , translated 4 units to the right, and translated 5 units upward. Write the equation of the transformed function.

Answer 1

y = x^3

compressed by factor of 1/2

y = x^3/2

4 right

y = (x-4)^3/2

five up

y = (x-4)^3/2 + 5

y = (1/2)(x-3)^3 + 5