What is the graph of the equation 6x^2-24x-5y^2-10y-11=0?

Question

What is the graph of the equation 6x^2-24x-5y^2-10y-11=0

Also, in the same category as the above, are three others , if you would be so kind,

What is the graph of the equation 5x^2 + 2y^2 + 30x - 16y + 67 = 0?

What is the graph of the equation x^2 + y^2 - 8x + 6y + 24 = 0?

What is the graph of the equation x^2 + 2x + 7 - y = 0?

Answer 1

1) hyperbola

2) ellipse

3) circle

4) parabola

hyperbolas have x^2 and a y^2 separated by a minus

ellipses have x^2 and y^2 separated by a plus and different x^2 and y^2 coefficients

circles have x^2 and y^2 with SAME coefficients separated by a plus

parabolas have x^2 OR y^2

Answer 2

Easiest way to graph equations is to plug in numbers for x  and solve for y and vice versa.  Start with x = 0 and then y = 0