Question

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?

Answer 1

4

Explanation:

Answer 2

The value of a is 4

Explanation:

we know that

If the quadratic function has x-intercepts of –1 and –7

then

The factored form is equal to

`y=a(x+1)(x+7)`

substitute the value of x and the value of y of the point (-2,-20) to find the value of a

`-20=a(-2+1)(-2+7)`

`-20=a(-1)(5)`

`-20=-5a`

`a=4`

The factored form is equal to

`y=4(x+1)(x+7)`