Question

What’s the correct answer for this question?

Answer 1

y = 1/-20 (x-2) - 5

Explanation:

Focus = (a,b) = (2,-4)

So a = 2, b = -4

Directrix: y = -6

But y = k

So k = -6

Finding Standard Form of Equation for parabola

y = (1/2(b-k))(x-a)²+(1/2)(b+k)

y = (1/2(-4-6))(x-2)+(1/2)(-4-6)

y = (1/2(-10))(x-2)+(1/2)(-10)

y = (1/-20)(x-2)+(-5)

y = 1/-20 (x-2) - 5