What is the equation of the quadratic graph with a focus of (8, −8) and a directrix of y = −6? a) f(x) = −one fourth (x − 7)2 + 1 b) f(x) = −one fourth (x − 8)2 c) f(x) = −one fourth (x − 8)2 − 7 d) f(x) = one fourth (x − 7)2

Step-by-step explanation:

we are given a quadratic equation

we know that quadratic equation is same as equation of parabola

so, we can use formula

Focus is

now, we can compare it with given focus

=(8,-8)

we get

Directrix is

we are given directrix =-6

we got two equations as

now, we can add both equations

and we get

now, we can find 'a'

now, we can plug back all values

and we get

So, equation of parabola is

(3x-8) or (3x+8)

step-by-step explanation: