How do you know if the conic section #x^2 -9y^2 +36y -45= 0# is a parabola, an ellipse, a hyperbola, or a circle?
Look at the coefficients on
The coefficient on
If the coefficients are different and also different signs (+ or -), then it must be hyperbola.
EVERY conic section can be written with the general equation :
Here is how you distinguish the various conic sections from the coefficients in the general equation:
parabola : either A or B equals 0 (only one squared term in the equation)
hope that helped