Question

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)

Answer 1

g(x)=8(x-3)-7
The number in the parentheses has to be changed to positive 3.
You keep the number (-7) the same sign it already is. The vertex is (3,-7)

Answer 2

option (2) is correct.

The vertex is (3 , -7)

Explanation:

Given: the function
`g(x) = 8x^2-48x+65` written in vertex form is
`g(x) = 8(x-3)^2-7.`

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

For a given quadratic function
`f(x)=ax^2+bx+c` , we can rewrite it in vertex form
`f(x)=a(x-h)^2+k` , where (h , k) represents the vertex of the function f(x).

For the given quadratic function
`g(x) = 8x^2-48x+65` written in vertex form is
`g(x) = 8(x-3)^2-7.`

On comparing , we get

h = 3 and k = -7

Thus, the vertex is (3 , -7)

Thus, option (2) is correct.