# How do use the discriminant test to determine whether the graph #4x^2+4xy+y^2+7x+8y=0# whether the graph is parabola, ellipse, or hyperbola?

##### 1 Answer

Nov 27, 2017

The graph is a parabola.

#### Explanation:

The general equation of a conic is

And the discriminant is

Here,

The equation is

The discriminant is

This corresponds to a PARABOLA.

graph{4x^2+4xy+1y^2+7x+8y=0 [-10, 10, -5, 5]}