Use the discriminant to decide whether the equation represents a parabola, an ellipse, or a hyperbola.
-$$10 y ^ { 2 } + 9 x + 10 y + 10 = 0$$
A) Ellipse
B) Parabola
C) Hyperbola

Question

Quizplus · Accepted Answer

The given equation is of the form $Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0$, where $A = 0$, $B = 0$, and $C = 10$. The discriminant is $B^2 - 4AC = 0 - 4(0)(10) = 0$. A discriminant of 0 indicates that the conic section is a parabola.

Use the Discriminant to Decide Whether the Equation Represents a Parabola