Question

Write a function in any form that would match the graph shown below.

-100
-6g
10
20
-10
-8
-2
2
-40
60
--80
-100

Answer 1

Answer: 20

Explanation:

Answer 2

y = -3(x +4)(x -5)

Explanation:

You want a function that will match the graph shown.

Roots

The x-intercepts of -4 and +5 tell us factors of the function will be (x+4) and (x-5).

Scale factor

The fact that the parabola opens downward means the leading coefficient is negative. Writing the function as ...

y = a(x +4)(x -5)

we find the value for x=0 to be 20a. The graph shows the y-intercept is 60, so we have ...

-60 = 20a

a = -3 . . . . . . divide by 20

The function can be written as y = -3(x +4)(x -5).

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