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

##### 1 Answer

Dec 18, 2016

See explanation.

#### Explanation:

The equation

(i) represents a circle, if

(ii) a parabola, if

(iii) an ellipse, if

(iv) a hyperbola, if

(v) a pair of straight lines, if

Here, a = b = 1 and h = 0.. It is a circle.

In the standard form, it is

The center is (1/2, 0) and the radius is

graph{x^2+y^2-x-2=0 [-5, 5, -2.5, 2.5]} .