# Is the equation (x+3)^2 /4 + (y -2)^2 / 4 =1 a line, parabola, ellipse, hyperbola, or circle?

Nov 24, 2015

A circle.

#### Explanation:

Multiply everything by $4$ to see that:

${\left(x + 3\right)}^{2} + {\left(y - 2\right)}^{2} = 4$

This is in the form of a circle ${\left(x - h\right)}^{2} + {\left(y - k\right)}^{2} = {r}^{2}$.

The circle has a center at $\left(- 3 , 2\right)$ and a radius of $2$.