Question

Help me respond this question

Answer 1

Function Transformations

Given f(x):

`g(x)=a f(b(x-h))+c`

Where:

• g(x) = new function
• a = vertical stretch
• b = horizontal stretch
• h = horizontal translation
• c = vertical translation

Solving the Question

When h is negative, the function will translate to the left.

In
`f'(x)=(x+9)^4`, h is-9. Therefore, the function will translate to the left.

Answer

`f'(x)=(x+9)^4`