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.

1 Answer
Sep 9, 2017

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!