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

Option A.

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

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

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

therefore

Option A

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;