Indicate whether the following equations define a straight line (L), a circle (C), an ellipse (but not a circle) (E), a parabola (P), or a hyperbola (H). Remember that WeBWorK is case sensitive, so you must enter capital letters L, C, E, P, H for your answer to be recognized. To get you going, on this and the next problem WeBWorK will tell you about each individual answer whether it is correct, but make sure you understand what you are doing so that you are prepared for the next problems.
1. $(x-1)^2+(y-3)^2=4$
2. $x^2-y^2=1$
3. $3x+4y+5=0$
4. $x^2+\frac{y^2}{2}=1$
5. $y = -3(x-1)^2 + 4$

Hint: These equations are in standard form. To recognize the various shapes consult the discussions of straight lines, parabolas, circles, and ellipses.