Question

Find the equation of a parabola with focus F(0, -12) and directrix y = 12.

Answer 1

@Timotheos

Answer 2

Can u help plz

Answer 3

Any point, (x, y) on the parabola satisfies the definition of parabola, so there are two distances to calculate:

Distance between the point on the parabola to the focus (a,b)
Distance between the point on the parabola to the directrix (y=c)

when we equate the SQUARE of these distances, we get
\(\large (x-a)^2 + (y-k)^2 = (y-c)^2\)
for your question,
a = 0, b = -12 , c = 12
just plug in and simplify!

Answer 4

**
\(\large (x-a)^2 + (y-b)^2 = (y-c)^2\)

Answer 5

x^2 + (y+12)^2 = (y-12)^2
see whether you get
x^2 = -48y
or
y = (-1/48)x^2
(which is your choice A)