Question

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

Answer 1

Answer:

Option A. $g(x)= \frac{1}{2}(x-8)^2-8$

Step-by-step 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

$g(x)= \frac{1}{2}(x-8)^2-8$

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

therefore

Option A