Answer:
The value of a is 4
Step-by-step explanation:
we know that
If the quadratic function has x-intercepts of –1 and –7
then
The factored form is equal to
[tex]y=a(x+1)(x+7)[/tex]
substitute the value of x and the value of y of the point (-2,-20) to find the value of a
[tex]-20=a(-2+1)(-2+7)[/tex]
[tex]-20=a(-1)(5)[/tex]
[tex]-20=-5a[/tex]
[tex]a=4[/tex]
The factored form is equal to
[tex]y=4(x+1)(x+7)[/tex]
