Question

The function g is given in three equivalent forms.
Which form most quickly reveals the vertex?

Answer 1

A

Explanation:

Answer 2

Option A.
`g(x)= (1)/(2)(x-8)^2-8`

Explanation:

The complete question is

The function g is given in three equivalent forms.

Which form most quickly reveals the vertex?

A)g(x)= 1/2(x-8)^2-8

B)g(x)= 1/2(x-12)(x-4)

C)g(x)= 1/2x^2-8x+24

we know that

The equation of a quadratic function in vertex form is equal to

`y=a(x-h)^2+k`

where

a is the leading coefficient

(h,k) is the vertex of the function

In this problem, the option A is the equation of the function in vertex form

we have

`g(x)= (1)/(2)(x-8)^2-8`

where the vertex is the point (8,-8)

therefore

Option A