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Math Help - Identify the type of graph

  1. #1
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    Identify the type of graph

    How do I graph this equation on a ti-83? I am struggling with this particular type of problem...I would like to learn how to do this on my calculator so that I will always know for future reference...any help is greatly appreciated!
    Identify the type of graph-15-type-graph.jpg
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  2. #2
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    Re: Identify the type of graph

    Quote Originally Posted by SammyAbby View Post
    How do I graph this equation on a ti-83? I am struggling with this particular type of problem...I would like to learn how to do this on my calculator so that I will always know for future reference...any help is greatly appreciated!
    Click image for larger version. 

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    complete the square for both x and y ...

    6x^2 - 12x + 7y^2 + 42y = 57

    6(x^2 - 2x) + 7(y^2 + 6y) = 57

    6(x^2 - 2x + 1) + 7(y^2 + 6y+9) = 57 + 6 + 63

    6(x-1)^2 + 7(y+3)^2 = 126

    \frac{(x-1)^2}{21} + \frac{(y+3)^2}{18} = 1

    you should recognize the above general form equation for an ellipse.

    if you wish to graph it in your calculator, you'll have to solve for y, getting equations for the upper and lower branches of the ellipse and graphing those in Y1 and Y2.
    Last edited by skeeter; March 4th 2012 at 02:21 PM.
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    Re: Identify the type of graph

    Thank you for your assistance...if you do not mind me asking...how did you get the 21 and 18 as the denominators?
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    Re: Identify the type of graph

    Quote Originally Posted by SammyAbby View Post
    Thank you for your assistance...if you do not mind me asking...how did you get the 21 and 18 as the denominators?
    6/126 = 1/21

    7/126 = 1/18
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