conic standard form/conversion

I have a few conic questions that I need some help with as they are not in a format that I understand to be the normal for conics.

I already know what type of conic each one stands for because I used Microsoft math to draw them, but I would like to solve them for myself.

1

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

it stands for an ellipse

2

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

It stands for a hyperbola

3

$\displaystyle x^2+4x=y-4$

It stands for a parabola