Question

Determine the cubic function that is obtained from the parents function y=x^3 after each sequence of transformations.

a reflection across the x axis, a horizontal translation 3 units right, and a vertical translation 7 units down

is this right?
-(x+3)^3-7

Answer 1

almost, the (x+3) is wrong

horizontal shift to right means (x-h)
shift left means (x+h)

Answer 2

\[y=-(x-3)^3-7\]