HELP Functions f(x) and g(x) are shown:

f(x) = x2 g(x) = x2 + 8x + 16

In which direction and by how many units should f(x) be shifted to match g(x)?
A. Left by 4 units
B. Right by 4 units
C. Left by 8 units
D. Right by 8 units

Option A, Left by 4 units

Step-by-step explanation:

Step 1:  Convert g(x) to a function square

We currently have g(x) in this order:  

However, we want g(x) to be in this order:  

The first thing we have to do is to factor it out:

Step 2:  Now we can see which way we need to move it

The original form is:  

Since the - has changed to a +, that means that we moved -4 spaces down the x-axis.  This means that we move left by 4 units.

 Option A, Left by 4 units

Look at the graphs below to make sure:

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

32.5 is the answer i got thats the answer