Parabola Equation Using Distance Formula

Learn how to write the equation of a parabola using the distance formula given the focus and vertex. We discuss what a parabola is in this math video tutorial by Mario's Math Tutoring as well as how to set the distance from a generic point on the parabola to the focus equal to the distance from the point to the directrix.
0:07 What is a parabola?
0:45 Find the equation of the parabola given focus (0,-2) vertex (0,0)
1:49 How to label the point on the directrix
1:50 Using the distance formula
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[@hidingthings_enjoyer.she.her.]

thanks a lot! I was confused when I learned this in class.

[@renewd]

I find that your vidoes usually are very clear and concise without overcomplicating any subject. Finding the p-value and then using the y^2=4px or x^2=4py form is a much more straightforward and simple method in my opinion. You previously made a video using this method (Finding Equation of Parabola Given Focus and Vertex - May 22, 2016). Thank you for all your videos.

[@MariosMathTutoring]

You’re welcome Chris! Glad you appreciate my videos and teaching style!

[@itzwisto9502]

This channel has helped me accomplish SO much, and I am a subscriber. Thank you for using your time, for our math needs. I do have a question.. do you still remember this math after your done teaching it??

[@MariosMathTutoring]

I’m glad to hear my channel has been helping you EpicGaming!

[@geraldillo]

You're a fantastic teacher. You make everything comprehensible in no time!

[@MariosMathTutoring]

Glad my videos help you quickly!

[@abdullahlaith2629]

Thank you Mario!

[@TheMechanic626]

Thank you, this was extremely helpful.

[@MariosMathTutoring]

Glad it was helpful!

[@ashleykasim6873]

Thank you so much!!

[@imadsalem1446]

I want a proof of the distance between focus and tangent point and the distance
Is the same of focus and intersection point of tangent and the axix of parabola

[@thecrusadingcasual3497]

Thanks man, this helped alot

[@MariosMathTutoring]

Glad it helped

[@firecrasher7153]

What does the point of parabola mean? Or the parabola passes through the point?

[@MathLab4u]

🎉👏

[@relevent160]

First just saying

[@chittibabu6533]

Sir please put join button in your CZcams channel so that I will become your CZcams member for your channel

[@MariosMathTutoring]

Chitti, my channel has not been approved yet for channel memberships however you are welcome to support my channel through my Patreon page here: www.patreon.com/mariosmathtutoring

[@methemagazine9095]

@@MariosMathTutoring you've helped me so much i think i'm gonna have to subscribe to your patreon

[@MariosMathTutoring]

I appreciate your support of my channel! And glad to hear my videos are helping you!