Let the polynomial function g be a function of x. The graph of the polynomial has four zeros at -5, -3/4,0,7. Select all the expressions that could represent g:
A. -4(x+5)(4x+3)(x-7)
B.-4(x+5)(4x+3)(x-7)^2
C. 4x(x-5)(x+3/4)(x+7)
D.4x(x+5)(3x-4)(x-7)
E. -x(x+5)(x+3/4)(x-7)

Can you help me out?

D, random answer

Step-by-step explanation:

d is the answer

step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: