The equation of the parabola whose focus is at (0, 5) and directrix at y = - 5 is:

~ y = (1/20) x²

~ y = - (1/20) x²

~ x = (1/20) y²

For a parabola at vertex (0,0)

we see that we have to go up and down

therfor it opens up or down

since focus is above directix, it opens up

x^2=4Py

p is distance from directix to vertex

since it opens up, P is positive

from - 5 to 0 is 5 units

x^2=4 (5) y

x^2=20y

solve for y

divide both sides by 20

y = (1/20) x^2

first one