Part a
describe the type of function shown in the graph.
part b
what are the standard form and the factored form of the function?

A

B

Step-by-step explanation:

Function and its graphs

Part A

The graph shown in the image corresponds to a cubic function because of its classical infinite branches, three real roots and two extrema values

Part B

Knowing the value of the three roots x=-20, x=-5, and x=15 we can express the cubic function in factored form:

The value of C will be determined by using any particular point from the graph. Let's use (0,1)

Replacing, we find the factored form of the function

The standard form demands to expand all the products and simplify

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)