# How do you graph #(x+4)^2+(y-1)^2=9#?

##### 2 Answers

A circle with a radius of

#### Explanation:

Given:

Notice that the equation for a circle is given by:

where:

#(a,b)# are the coordinates of the circle's center

#r# is the radius of the circle

Here, we get

So, this equation shows us a circle with a radius of

Here is a graph of the circle:

graph{(x+4)^2+(y-1)^2=9 [-10, 10, -5, 5]}

See below:

#### Explanation:

The good thing is that this equation is in standard form

With center

This tells us that we have a center at

To think about graphing the radius, a radius of

After we interpret this information, we get the following graph:

graph{(x+4)^2+(y-1)^2=9 [-10, 10, -5, 5]}

Hope this helps!