The function g(x) = 8x2 – 48x 65 written in vertex form is g(x) = 8(x – 3)2 – 7. what is the vertex of g(x)? (–3, –7) (3, –7) (24, –7) (–24, –7)

option (2) is correct.

The vertex is (3 , -7)

Step-by-step explanation:

 Given: the function written in vertex form is

We have to write the vertex form of g(x).

For a given quadratic function , we can rewrite it in vertex form   , where (h , k) represents the vertex of the function f(x).

For the given quadratic function written in vertex form is

On comparing , we get

h = 3 and k = -7

Thus, the vertex is (3 , -7)

Thus, option (2) is correct.