Question

Which conic section does the equation attached describe?


A. Circle

B. Ellipse

C. Parabola

D. Hyperbola

**my answer: B. ellipse

is that right? =)

Answer 1

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

Answer 2

Hyperbola has form

\[\frac{(x-h)^2}{a}+\frac{(y-k)^2}{b}=1\]

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

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,\[\huge \left(\frac{x}{a}\right)^2-\left(\frac{y}{b}\right)^2=1\]

Answer 13

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

Answer 14

Yah c:

Answer 15

It might appear in your book as anhuya posted it.

Answer 16

okay, so this is a hyperbola? :/

Answer 17

like @anhhuyalex said?

Answer 18

or wrote above?

Answer 19

yah c: hyperbola.

Answer 20

okay!!! thank youu :)

Answer 21

its hyperbola

i din't look ur post

Answer 22

haha okay thanks :)