Answer:
y = 1/-20 (x-2) - 5
Step-by-step 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
