1. ## Types of Conics.

I really need help with this so if anyone could please help me, that'd be awsome. . . here's the problem.

Indicate which type of conic each of the following represents.

1. (x-3)^2/9 + (y-2)^2/4 =1

2.(x+2)^2/25 - (y-1)^2/9 =1

2. Originally Posted by STresSed! :O
I really need help with this so if anyone could please help me, that'd be awsome. . . here's the problem.

Indicate which type of conic each of the following represents.

1. (x-3)^2/9 + (y-2)^2/4 =1

2.(x+2)^2/25 - (y-1)^2/9 =1
See post #2 here

3. See Conic section - Wikipedia, the free encyclopedia

When looking at it your equations disregard (for purposes of identification) the offsets on x and y. For example, whatever (x-3)^2/9 + (y-2)^2/4 =1 is, is just a shifted version of x^2/9 + y^2/4 =1 (shifted 3 to the right and 2 up).

4. Originally Posted by STresSed! :O
I really need help with this so if anyone could please help me, that'd be awsome. . . here's the problem.

Indicate which type of conic each of the following represents.

1. (x-3)^2/9 + (y-2)^2/4 =1

2.(x+2)^2/25 - (y-1)^2/9 =1

1. $\frac{(x-3)^2}{9} + \frac{(y-2)^2}{4} =1
$
ellipse..

2. $\frac{(x+2)^2}{25} - \frac{(y-1)^2}{9} =1$ hyperbola

5. Originally Posted by STresSed! :O
I really need help with this so if anyone could please help me, that'd be awsome. . . here's the problem.

Indicate which type of conic each of the following represents.

1. (x-3)^2/9 + (y-2)^2/4 =1

2.(x+2)^2/25 - (y-1)^2/9 =1
Compare:

ellipse with center C(h, k) and the semi-axes a and b: $\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}=1$

hyperbola with center C(h, k) and the semi-axes a and b: $\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2}=1$