An image of a parabolic lens is projected onto a graph. the y-intercept of the graph is (0, 90), and the zeros are 5 and 9. which equation models the function? y = 90(x – 5)(x – 9) y = 2(x – 5)(x – 9) y = 90(x + 5)(x + 9) y = 2(x + 5)(x + 9)

Given:

y-intercept of the graph: (0, 90)
zeros: 5 and 9

The equation that models the function based on the zeros given, is either

y = 90 (x-5) (x-9)
or
y= 2(x-5)(x-9)

try solving for the y-intercept of each function, 

y = 90 (0-5) (0-9)
  y = 4050
(0, 4050)

y = 2(0-5) (0-9)
y = 90
(0, 90)

therefore, the equation that models the function is y = 2(x-5)(x-9)

Using the Factor Theorem, the equation that models the function is:

The Factor Theorem states that a polynomial function with roots is given by:

In which a is the leading coefficient.

In this problem, the zeros are 5 and 9, hence , and:

The y-intercept of the graph is (0, 90), which means that when , which is used to find a.

Then, the equation is:

To learn more about the Factor Theorem, you can take a look at link

You didn’t put the necessary image to solve the question : p

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