Question

Hi there! Can I get some help please? Thanks!

What transformations change the graph of f(x) to the graph of g(x)?

f(x) = x2 g(x) = (x+5)2 - 9

A- The graph of g(x) is the graph of f(x) translated to the left 5 units and down 9 units.
B. The graph of g(x) is the graph of f(x) translated to up 5 units and right 9 units.
C. The graph of g(x) is the graph of f(x) translated to down 5 units and left 9 units.
D. The graph of g(x) is the graph of f(x) translated to the right 5 units and up 9 units.

Answer 1

The answer is `A`.

Explanation:

The graph of `y = (x- p)^2 + q` is a transformation of `p` units right-hand and `q` units up. Here `p = -5` and `q = -9`. So, `5` units to the left and 9 units down.

The answer is therefore `A`.

Hopefully this helps!