Question

In Problems$19-23$, identify each conic without completing the squares and without applying a rotation of axes.

$y^2+4x+3y-8=0$

Short answer

The given equation represents a parabola.

Step-by-step solution

Step 1. Given Information

The equation of conic is$y^2+4x+3y-8=0$

Step 2. Simplification

Now, $y^2+4x+3y-8=0$

Here, $A=0,B=0\&C=1$

Therefore, $B^2-4AC=0-4.0.1$

$=0$

Which is the equation of a parabola.