You need to get all answers correct before getting credit. 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).
1. $x^2+6x+y^2+8y=0$
2. $y^2+6y-x^2-6x+9=0$
3. $-2x-y=17$
4. $15x^2+5y^2-49=0$
5. $y = 2x^2-3x+4$

Hint: If you are not sure, convert the equations to standard from by completing the square and match with the geometric shape.