Find an equation of the parabola that has a focus at 813 and

Find an equation of the parabola that has a focus at (8,13) and a vertex at (8, 5): Find an equation of its directrix:

Solution

Focus = (8,13)

vertex = (8,5)

The standard eqn of parabola = (x-h) ^2 = 4P(y-k)

we have h =8

k = 5

p = + 8 unots

so put the valse in the standard eqn we got

(x-h) ^2 = 4P(y-k)

(x-8) ^2 = 4*8(y-5)

(x-8) ^2 = 32(y-5)

(x-8) ^2 = 32(y-5)

Answer