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- anonymous

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

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- anonymous

- chestercat

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- anonymous

- myininaya

Hey.

- myininaya

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.

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- anonymous

it should be positive, just making a mental sketch

- myininaya

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

- myininaya

The vertex is halfway between the vertex and the directrix.

- anonymous

0,0

- myininaya

right

- myininaya

and also right on the first thing

- myininaya

so we just need to figure out what p is

- myininaya

p is the distance between the focus and the vertex

- myininaya

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

- anonymous

so 6

- myininaya

\[4py=x^2 \]
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

- anonymous

so 24y=x²

- myininaya

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

- anonymous

my answer is y = 1/24x²

- myininaya

that sounds good too

- anonymous

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

- anonymous

thanks

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