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Question 198155: identify and graph 2 2
4(x+1) +9(y-1) =36
I know its an ellipse but i cant graph it out right.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 4(x+1)^2 + 9(y-1)^2 = 36
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Convert to standard form:
[(x+1)^2]/9 + [(y-1)^2]/4 = 1
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Do you see that the center is at (-1,1) ?
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Do you see that the semi-major axis is sqrt(9) = 3
so the right-most vertex is at (2,1) and the left-most
vertex is at (-4,1) ?
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Do you see that the semi-minor axis is sqrt(4) = 2
so the top vertex is at (-1,3) and the bottom vertex
is at (-1,-1) ?
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If you see all that, you can sketch the ellipse.
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Cheers,
Stan H.
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