Writing Conic Sections in Standard Form

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Learn how to write conic sections in standard form using completing the square in this free math video tutorial by Mario's Math Tutoring. We specifically discuss the hyperbola and ellipse as examples.

0:20 What are Conic Sections
1:15 Example 1
1:16 Analyzing What Type of Conic Section
2:25 Grouping x's and y's and Factor Out Leading Coefficient
2:39 Completing the Square
3:23 Factoring the Perfect Squares
4:08 Divide to Make the Equation Equal to 1
4:43 Example 2
4:58 Analyzing What Type of Conic
5:14 Grouping the y's and x's Together
5:38 Factor Out the Leading Coefficient
6:05 Completing the Square
6:43 Factor the Perfect Square Trinomials
7:08 Divide to Make the Equation Equal to 1

Related Videos:

How to Graph Ellipses and Write the Equation

How to Graph Hyperbolas and Write the Equation

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Very helpful, thanks for the clear explanation!

backes
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These videos saved me before my exam this Friday. :) Thank you so much Mario ! Do you have the solution for the equation on the right?

UrBigSisKey