Identify the parent function for...?

Question

Please help!!!
Identify the parent function for g(x)=(x+3)^3 and describe what transformation of the parent function it represents.

I know the parent function is the cubic function, f(x)=x^3 but I need help with the type of translation.

Thanks everyone for your help!

Answer 1

Since the translation is of the form x -> (x+3) it represents a shift of 3 places to the left of the parent function. (e.g. The zero will be at
x=-3 instead of x=0)

HTH

Doug

Answer 2

what is the parent function of f(x)=10^-x+3 and that describes the transformation of the parent function