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 5, 0.

Answer 1

Given the following function:

f(x) = (x + 7)²

As we observed in the given graph, from f(x) vertex of x = -7, g(x) vertex is at x = -5. It's the only difference observed between the two functions. Thus, the equation of g(x) must be similar to f(x).

Among the given equations in the choices, the only equation in which the vertex of its graph is at x = -5 is g(x) = (x + 5)².

Therefore, the answer should CHOICE B.

A.) Vertex of g(x) = (x + 9)² is at x = -9

C.) Vertex of g(x) = (x - 9)² is at x = 9

D.) Vertex of g(x) = (x - 5)² is at x = 5