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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, 2,3,4?
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Jul 1, 2022
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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, 2,3,4?
Mathematics
high-school
AntC
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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
Sopalajo De Arrierez
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Jul 7, 2022
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Sopalajo De Arrierez
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