PLEASE HELP!

Angela was completing the square of the quadratic function in order to find the extreme value. Her work is shown below. x2 + 8x + 6 (x2 + 8x + ) + 6 What is the next step in the process, and what is the extreme value?

A: (x2 + 8x + 16) + 6 - 16; the extreme minimum is -10

B: (x2 + 8x + 16) + 6 + 16; the extreme minimum is 22

C: (x + 4)2 – 10; the extreme minimum is -10

D: (x + 4)2 + 22; the extreme minimum is 22

A

Step-by-step explanation:

We are given that a function

We have to find the next step in the process and what is the extreme value .

By adding and subtracting 16  then we get

By using the formula

The given function is the equation of parabola .

By comparing  with

Where vertex=(h,k)

Vertex=(h,k)=(-4,-10)

Substitute x=-4

Then, we get

Hence, the extreme minimum value of function =-10

Option A is true.

The answer in the procedure

Step-by-step explanation:

we know that

If the dilation produces a smaller figure

then

the scale factor must be less than one

Let

z > the scale factor

z < 1

A possible scale factor can be 0.50, 0.20,0.35,0.80, etc