# How do you identity if the equation #5x^2+6x-4y=x^2-y^2-2x# is a parabola, circle, ellipse, or hyperbola and how do you graph it?

##### 1 Answer

Dec 1, 2016

This is an ellipse

#### Explanation:

Let's rearrange the equation

Completing the squares

Dividing by

This is the equation of an ellipse

The center is

The foci are F

The major axis is

The minor axis is

graph{4x^2+8x+y^2-4y=0 [-6.99, 7.06, -1.27, 5.754]}