Consider the quadratic function that has x-intercepts of –1 and –7 and passes through the point (–2, –20). What is the value of a in the factored form of this function?
1

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07-07-2017
Mathematics

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Consider the quadratic function that has x-intercepts of –1 and –7 and passes through the point (–2, –20). What is the value of a in the factored form of this function?
1

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jcherry99 jcherry99 · Answer 1 · 2018-05-27T02:03:10+02:00

Short Answer: a = 4
Remark
How did this escape deletion?
Step One
Set up the factored equation with a constant to solve the constant effecting all parts of the quadratic.

The roots are -7 and -1
The factors are (x + 7)(x + 1)

Step two
Write the equation
y = a*(x +7)(x + 1)

Step three
Solve for a. Use (-2,-20)
y = -20
x = -2

-20 = a(-2 + 7)(-2 + 1)
-20 = a (5)(-1)
-20 = -5a Divide by -5
a = -20/-5
a = 4

Step 4.
Write the equation with a
y = 4(x + 7)(x + 1)

a = 4

connorlee33 connorlee33 · Answer 2 · 2020-05-07T21:01:42+02:00

connorlee33 connorlee33

07-05-2020

Answer:

Answer is D

Step-by-step explanation:

Just answered it correctly

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Consider the quadratic function that has x-intercepts of –1 and –7 and passes through the point (–2, –20). What is the value of a in the factored form of this function? 1

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Consider the quadratic function that has x-intercepts of –1 and –7 and passes through the point (–2, –20). What is the value of a in the factored form of this function?
1