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

Answer: g(x)=(x+7)^2-2

Explanation:

g(-7)=f(-7)-2

g(-7)=(-7+7)^2-2

g(x)=(x+7)^2-2