The function g(x) = x2 is transformed to obtain function h: h(x) = g(x + 7). Which statement describes how the graph of h is different from the graph of g? A. The graph of h is the graph of g vertically shifted up 7 units. B. The graph of h is the graph of g vertically shifted down 7 units. C. The graph of h is the graph of g horizontally shifted right 7 units. D. The graph of h is the graph of g horizontally shifted left 7 units.

D. The graph of h is the graph of g horizontally shifted left 7 units.

Step-by-step explanation:

if x= 1 in the example, it would be 1 + 7 = 8 for h(x) while it would be just 1 for g(x)

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer

(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