# How do you know if the conic section #x^2 +4y^2-8x -48= 0# is a parabola, an ellipse, a hyperbola, or a circle?

##### 1 Answer

Sep 13, 2016

#### Explanation:

Let the equation be of the type

then if

**parabola**

**circle**

**ellipse**

**hyperbola**

In the given equation

Therefore,

Hence,

graph{x^2+4y^2-8x-48=0 [-6.71, 13.29, -4.52, 5.48]}