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

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zepdrixBest ResponseYou've already chosen the best response.1
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.
 11 months ago

zepdrixBest 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.\[\large \frac{y^2}{2}+\frac{x^2}{1}=5\]
 11 months ago

haleyking345Best ResponseYou've already chosen the best response.0
is it an ellipse?
 11 months ago

zepdrixBest ResponseYou've already chosen the best response.1
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. :)
 11 months ago
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