Question

The graphs of f(x) and g(x) are shown below:

graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 7, negative 2.

If f(x) = (x + 7)2, which of the following is g(x) based on the translation?

g(x) = (x + 9)2
g(x) = (x + 5)2
g(x) = (x + 7)2 + 2
g(x) = (x + 7)2 − 2

Answer 1

f(x) = (x-h)² +k
h tells the horizontal translation (positive = right, negative = left)
k tells the vertical translation (positive = up, negative = down)

g(x) moved 2 units down from f(x), so -2 would be in the "k" location

Answer 2

Alright