Question

@marissalovescats

Answer 1

An archway will be constructed over a walkway. A piece of wood will need to be curved to match a parabola. Explain to Maurice how to find the equation of the parabola given the focal point and the directrix.

Answer 2

Well if it's an archway it takes the shape of this

Which is an x^2 parabola opening downward

Answer 3

-x^2 **

Answer 4

So what means the y point will be negative.

So I believe if we have a focus of (0,-4) this means the directrix at y=4

-x^2=4py

x^2=4(-4)y

x^2=-16y

-1/16x^2=y I believe would be the equation.

I could be wrong I don't 100% remember this topic.

If I'm wrong I'm sure @tHe_FiZiCx99 can confirm/deny lol

Answer 5

Thank you so much!

Answer 6

You're welcome

Answer 7

i have 3 more if its okay you can help?

Answer 8

I won't be able to, it's 11:50pm here and my internet goes off at 12 am. I'm sorry, I'm sure someone else here can help as well. Best of luck! :)

Answer 9

ok thanks

Answer 10

You're welcome :)