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

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1. haleyking345

please help!!!

2. zepdrix

Do 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.

3. zepdrix

$\large y^2+2x^2-10 = 0$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.$\large \frac{y^2}{2}+\frac{x^2}{1}=5$

4. haleyking345

is it an ellipse?

5. zepdrix

Ah 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. :)

6. haleyking345

thank you

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