Question

What conic section is represented by `y^2-4x+6y+29=0`?

Answer 1

Parabola

Explanation:

The general equation of a conic section is

`Ax^2 + By^2 + Cx + Dy + E = 0`

When either `A` or `B` is 0, we have a parabola
When `A` and `B` have different signs, we have a hyperbola
When `A` and `B` have the same sign and value, we have a circle
When `A` and `B` have the same sign, we have an ellipse