Question

Find the standard form of the equation of the parabola with a focus at (0, 6) and a directrix at y = -6.

Answer 1

@myininaya

Answer 2

Hey.

Answer 3

so I like to a do a rough drawing to first figure out if my p is going to be negative or positive and where my vertex is going to be.

Answer 4

it should be positive, just making a mental sketch

Answer 5

p is negative if the directrix is above the focus.
p is positive if the directrix is below the focus.

Answer 6

The vertex is halfway between the vertex and the directrix.

Answer 7

0,0

Answer 8

right

Answer 9

and also right on the first thing

Answer 10

so we just need to figure out what p is

Answer 11

p is the distance between the focus and the vertex

Answer 12

or you can look at it as the distance between the vertex and the directrix

Answer 13

so 6

Answer 14

\[4py=x^2 \]
is what we had
and we knew p was going to be postive because focus was above directrix
and yep just replace p with 6

Answer 15

so 24y=x²

Answer 16

yep
or you can write it as
y=x^2/24
I just divided 24 on both sides

Answer 17

my answer is y = 1/24x²

Answer 18

that sounds good too

Answer 19

yes, My answer choice is written in the form I wrote it in

Answer 20

thanks