# How do you graph #(x+2)^2 + (y+3)^2 = 4#?

##### 1 Answer

Aug 7, 2015

#### Answer:

You determine the centre, vertices, and endpoints. Then you plot the graph.

#### Explanation:

This is the standard form for the equation of a circle with centre at (

This means that, to find the vertices, you go 2 units up from the centre and 2 units down.

Thus, the vertices are at (

To find the endpoints, you go 2 units left of the centre and 2 to the right.

Thus, the endpoints are at (

Plot the centre , the vertices, and the endpoints on a graph.

Now draw a smooth circle through the four outer points.

And you have your graph.