How would the graph of y = x2 + 6 be affected if the 6 in the function was changed to a 2?
a. the graph would shift 2 units up.
b. the graph would shift 4 units up.
c. the graph would shift 4 units down.
d. the graph would shift 4 units to the left.

Option C. The graph would shift 4 units down

Step-by-step explanation:

we know that

The function

----> is a vertical parabola with a vertex at (0,6)

----> is a vertical parabola with a vertex at (0,2)

so

The rule of the translation is

That means------> The translation is 4 units down      

(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

mia khalifa

step-by-step explanation: