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

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(1) Answers

Elliegriff2000

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