Conic Sections: Parabolas, Part 4 (Focus and Directrix)

[patrickjmt]

@SuperLinkN64 there was a mistake in it so i set it to private so that i am not showing incorrect stuff : )

[MrNemo]

thank god you explain this way easier than my teacher

[Dempseymauler]

thanks man your really helping alot of people out

[Nitrological]

If the focus is at, say, (5, 2) and the given directrix is y=-2, you can conclude that the vertical distance between them is 4 units, correct? So half of those 4 units is 2, which is your 'p' value. And since they are all vertically oriented, you can find the vertex at (5, 0) and can proceed to complete the problem.

[matthewwroblewski]

thanks pat. your vids are awesome bro. much appreciated

[jasonkid]

+2:38 if the question is find the standard equation can I just use y^2=12x or im gonna simplify it further?

[raefarhat]

hey do u have a video on parabola's that begin with y^2? Thank you. (and if u dont its alright, your other videos are fantastic)

[Mainhearthantic]

Hi patrickJMT, kindly answer this please and do it step by step, No. 1. " A cable hangs in a parabolic arc between two poles that are 60 meters apart. The poles are 40 meters high and the lowest point on the power cable is 10 meters above the ground. How high is the cable at a point 20 meters from one of the poles. "


2. "A particular comet is moving along a parabolic orbit with the Sun as the fucos. If the shortest distance of the comet from the Sun is 8 million miles, give the equation of the orbit if the vertex is at the origin. What is the distance of the comet from the directrix if its distance from the axis is 10 million miles. "

How can I find the equation of a parabola given the focus and directrix?

[thelonewolf]

2:22 where do you get the positive 3 on p ? please help Thank you

[saisaandeepsadu]

nice explanation bro.. i like it but i need explanation on " find the area enclosed by the Curver y^2=4ay and x^2 = 4ay. any tips

[jasonrivera]

How do u know where to put 4p on the x side or the y side?

[mahmoudemara]

why we used y^2 = 4px not x^2=4py at the second example?

[zunprecedented]

Is it going to become "un-private" anytime soon?

[mandlambukwane]

i'm given  y=-1/2-x+1/2 and im expected to find  focus