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 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).
Compare:
ellipse with center C(h, k) and the semi-axes a and b: $\displaystyle \frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}=1$
hyperbola with center C(h, k) and the semi-axes a and b: $\displaystyle \frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2}=1$
some pages in your textbook