# How do you identity if the equation #x^2+y^2-8x-6y+5=0# is a parabola, circle, ellipse, or hyperbola and how do you graph it?

##### 1 Answer

Nov 2, 2016

The equation represents a circle of center

#### Explanation:

Let's rewrite the equation and complete the square

this is the equation of a circle, the center is

and the radius is

You draw a circle, center(4,3) and radius

graph{(x-4)^2+(y-3)^2=20 [-9.46, 13.04, -1.88, 9.37]}