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

ANSWER

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

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).