Hey just wanting to know how you can find a parabola given the focal and directrix

Question

anonymous · Answer

Meant the equation of a parabola

anonymous · Answer

Sorry i don't know the question but i just wanted to say Battle Field Friends

anonymous · Answer

The vertex is half way between the Focal and the directrix

anonymous · Answer

$$y^2=4px$$

anonymous · Answer

Yes I know and so then I just plug in the numbers then?

anonymous · Answer

parabola takes the from of $ y^2 = 4ax  $

anonymous · Answer

So then how would I solve it?

anonymous · Answer

The distance between directix and focus is 2p

anonymous · Answer

I will step out and let saseal take over so you do not get confused.

anonymous · Answer

Because I need to know how to find the equation first

anonymous · Answer

Because I need to know how to find the equation first

anonymous · Answer

distance equation?

anonymous · Answer

Yes but is that it?

anonymous · Answer

Yes but is that it?

anonymous · Answer

you take the midpoint between focus and directix
$$(\frac{ x _{2}-x _{1} }{ 2 })$$
change it to y if your parabola opens the other side

anonymous · Answer

yup that distance is your p and you plug it into the formula

anonymous · Answer

Soo is that it?

anonymous · Answer

yes

anonymous · Answer

Alright thank you!

anonymous · Answer

welcome