## anonymous 3 years ago Which conic section does the equation attached describe? A. Circle B. Ellipse C. Parabola D. Hyperbola **my answer: B. ellipse is that right? =)

1. anonymous

2. zepdrix

$\huge \left(\frac{x}{a}\right)^2+\left(\frac{y}{b}\right)^2=1$ See the addition sign between them? Hmm I don't think that quite matches what we're looking for.

3. anonymous

Hyperbola has form $\frac{(x-h)^2}{a}+\frac{(y-k)^2}{b}=1$

4. anonymous

ohhh okay so then I'm not too sure :(

5. zepdrix

That is the standard form of an ellipse* the one i posted before. Sorry my broswer really screwy :c grr

6. zepdrix

no mat :O don't confuse heart. Click the picture for the function, don't look at what I posted.

7. anonymous

ohhh okay hahaa :P wait so I'm confused... what is this then?? :/

8. zepdrix

It's a hyperbola... as anhuya said :O

9. zepdrix

Oh she posted the wrong sign between them I think.. ugh sec lemme look it up XD

10. anonymous

ohh i see :) it follows that format... :)

11. anonymous

ok :) so what is it then??? :/

12. anonymous

Sorry everyone, mistype Hyperbola form is $\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1$

13. zepdrix

I find these a little confusing because of all the extra numbers they throw at you. The -1 in x -1 just represents a horizontal shift to the right 1 unit. It doesn't affect the SHAPE of the graph at all. So I would recommend ignoring data like that. It might help you to see what's going on. The function essentially looks something like this,$\huge \left(\frac{x}{a}\right)^2-\left(\frac{y}{b}\right)^2=1$

14. anonymous

okay, so i need to find the one that follows that format?

15. zepdrix

Yah c:

16. zepdrix

It might appear in your book as anhuya posted it.

17. anonymous

okay, so this is a hyperbola? :/

18. anonymous

like @anhhuyalex said?

19. anonymous

or wrote above?

20. zepdrix

yah c: hyperbola.

21. anonymous

okay!!! thank youu :)

22. anonymous

its hyperbola i din't look ur post

23. anonymous

haha okay thanks :)