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haleyking345
 one year ago
Is this a parabola, hyperbola, ellipse, or circle?
a.) y^2 + 2x^2  10 = 0
haleyking345
 one year ago
Is this a parabola, hyperbola, ellipse, or circle? a.) y^2 + 2x^2  10 = 0

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zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Do you remember what the `standard form` for each parabola, hyperbola, ellipse and circle look like? :) We'll want to take this function and put it into one of those standard forms so we can easily identify which one it is.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\large y^2+2x^210 = 0\]Adding 10 to both sides gives us,\[\large y^2+2x^2=10\]Divide both sides by 2,\[\large \frac{y^2}{2}+x^2=5\] Hmm let's write it like this, and see if it looks familiar.\[\large \frac{y^2}{2}+\frac{x^2}{1}=5\]

haleyking345
 one year ago
Best ResponseYou've already chosen the best response.0is it an ellipse?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Ah yes it is! I should have gone one more step to make the right side 1, my mistake.\[\large \frac{y^2}{10}+\frac{x^2}{5}=1\] But yes, very good, ellipse. :)
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