Answer:
see below
Step-by-step explanation:
C. The zeros can be read from the x-intercepts of the graph.
The zeros are -20, -5, +15.
__
D. For zero "p", a linear factor will be (x -p). The linear factors are ...
(x +20), (x +5), (x -15)
__
B. The factored form of the function is ...
f(x) = a(x +20)(x +5)(x -15) . . . . . for some scale factor "a"
__
E. The standard form of the function will be the multiplied-out version of the factored form:
f(x) = a(x^3 +10x^2 -275x -1500)
__
A. Using the distributive property, the full expanded standard form is ...
f(x) = ax^3 +10ax^2 -275ax -1500a
__
F. The graph shows the y-intercept to be y=1. The function of parts E and/or A show the constant to be -1500a, so we have ...
-1500a = 1
a = -1/1500
__
G. The graphed function is ...
f(x) = (-1/1500)(x^3 +10x^2 -275x -1500)
See the attachment for a graph.
_____
Disclaimer
We have tried to decipher the question's parts and to put them in an order corresponding to the way the problem is actually solved. It isn't clear exactly how "multiplied-out" the function is supposed to be at any stage. We have chosen to avoid having fractional coefficients, which may not be what you are expected to do.
