Question

What will the function f(x) = x² look like translated 3
units right and 8 units down?

Answer 1

it will look the same, just shifted.

Explanation:

The parabola will be the same shape, size, etc., it will simply be in a different location. Instead of the bottom of the parabola being at (0,0), it will be at (3, -8). translated right 3, down 8.