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

1. haleyking345 Group Title

2. zepdrix Group Title

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 Group Title

$\large y^2+2x^2-10 = 0$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 Group Title

is it an ellipse?

5. zepdrix Group Title

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 Group Title

thank you