Question

Please help me respond this question

Answer 1

Transformations of Functions

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

• f(x) = original function
• g(x) = transformed function
• a = vertical stretch
• b = horizontal stretch
• h = horizontal translation
• c = vertical translation

Solving the Question

We're given:

`f(x)=x^3`

`f'(x)=x^3-3`

f'(x) is equal to f(x) + 3.

This is the same as the "c" value mentioned above, which is a vertical translation.

If c is positive, the function translates up.

Therefore, it moves 3 units upward.

Answer

It moves 3 units upward.