Question

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

Answer 1

A circle.

Explanation:

Multiply everything by `4` to see that:

`(x+3)^2+(y-2)^2=4`

This is in the form of a circle `(x-h)^2+(y-k)^2=r^2`.

The circle has a center at `(-3,2)` and a radius of `2`.