How to graph an ellipse & determine important characteristics

Learn how to graph horizontal ellipse not centered at the origin. A horizontal ellipse is an ellipse which major axis is horizontal. To graph a horizontal ellipse, we first identify some of the properties of the ellipse including the major radius (a) and the minor radius (b) and the center. These properties enables us to graph the ellipse.
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[@gavrielsokolic]

You are a life saver. I have my Precalc final tomorrow and my teacher didn't teach us conics properly and your videos have really helped me prep. Thank you!

[@awash2233]

I was confused about how to know when it’s vertical or horizontal, now I know thank u

[@wilsonlopez9383]

Hi sir McLogan, i watched some other videos involving ellipses from your channel, in the other video of yours, you said that the relation of a,b and c is a^2 =b^2 + c^2. And in this video that the relation of a,b and c is c^2 = a^2 - b^2. Which relation shoud i use? Hoping for your answer, Thank you sir McLogan.

[@bsp6496]

it's the same thing

[@ijustescaped]

This is the most helpful video in the world bro. you deserve the sub.

[@brianmclogan]

Appreciate ir

[@ijustescaped]

@@brianmclogan OMG you replied im your biggest fan now! keep it up! you help me with my algebra 2 and pre calculus homework so much! Everytime I dont get something, you always have it on your channel!

[@jabokaiser7301]

U r litteraly a genius because I understood u

[@brianmclogan]

awesome! happy to be able to help you out!

[@ddo_reyesteron12]

You deserve a subscription sir! 💗

[@deephealing1948]

Nice work

[@EthanFoma]

great help

[@hyderbaig3782]

Before watching this I didn't even know what to do with 1 question and after watching I did it effortlessly

[@-STEMDAPDAPAXLDHANB]

My brain can't handle this

[@ellapatena2818]

stem pala gusto mo ha, oh yan.

[@asami7953]

Never wanted it, was just told by my parents to go 😃😃

[@kfjfkeofitorhf9520]

(X-2^2)/9++(y--2)^2/1 9X^2---18^2+++y^2---2^2 X^2----2^2++++y^2-----4 X^2------4+++++y^2-----4 X=2 Y=2

[@justfranklinvlogs3192]

Teacher you're wrong the foci should be in decimal form that should be 2.24 yet there is no square root of 5 but in decimal there is. Also the vertices should be V1=(2,4) V2=(2,-2) And the co vertices should be CV1=(4,1) CV2=(0,1). And that is not horizontal that is vertical. Just sayin and sharing my thoughts or opinion. But all over I always watch your videos and it helps me alot. Thank you.

[@brianmclogan]

Not sure what you are specifically speaking of but the sqrt{5} is the exact value of c. 2.24 is an approximation. Also a^2 is under the x so it is an ellipse with a horizontal major axis. I am going off the thumbnail unless that is wrong

[@justfranklinvlogs3192]

@@brianmclogan A^2 is 9 and B^2 is 4 which one is bigger?. The bigger is always the major axis, when the major axis is under the X^2 this would always be vertical. Am I correct?

[@krizz262]

TECH FREEDOM A^9 is bigger. When the bigger value is at X-axis it would be horizontal, opposite of Y-axis which would be vertical.

[@Frosty-my5lm]

bruh leave him alone if you think it's wrong make your own damn video and link us to it

[@justfranklinvlogs3192]

Vertical not horizontal the major axis is 9 in which located below the X axis. So it should be vertical nt horizontal.

[@brianmclogan]

No horizontal

[@Frosty-my5lm]

bruh leave him alone if you think it's wrong make your own damn video and link us to it

[@justfranklinvlogs3192]

Wrong that should be vertical.

[@brianmclogan]

Graph it using desmos

[@Frosty-my5lm]

bruh leave him alone if you think it's wrong make your own damn video and link us to it

[@PM-bl1fh]

Wrong

[@brianmclogan]

if you tell me where I can confirm and post so other students are not confused