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

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1. anonymous

Meant the equation of a parabola

2. anonymous

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

3. anonymous

The vertex is half way between the Focal and the directrix

4. anonymous

$y^2=4px$

5. anonymous

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

6. anonymous

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

7. anonymous

So then how would I solve it?

8. anonymous

The distance between directix and focus is 2p

9. anonymous

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

10. anonymous

Because I need to know how to find the equation first

11. anonymous

Because I need to know how to find the equation first

12. anonymous

distance equation?

13. anonymous

Yes but is that it?

14. anonymous

Yes but is that it?

15. anonymous

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

16. anonymous

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

17. anonymous

Soo is that it?

18. anonymous

yes

19. anonymous

Alright thank you!

20. anonymous

welcome