Question

The function g(x) = 3x2 − 12x + 7 written in vertex form is g(x) = 3(x − 2)2 − 5. What is the vertex of g(x)?

Answer 1

The vertex of g(x) is (2,-5).

Step-by-step explanation

The given function is:

`g(x) = 3 {x}^(2) - 12x + 7`

The vertex form of this function is:

`g(x) = 3 {(x - 2)}^(2) -5`

This is of the form

`g(x) = a {(x - h)}^(2) + k`

where (h,k) is the vertex.

When we to

`g(x) = 3 {(x - 2)}^(2) -5`

h=2 and k=-5

The vertex of the parabola is (2,-5).