find the center and radius of the circle with the equation (x+1)^2 + (y-2)^2 = 16 . Then graph

the circle. (note the scale on the graph paper is going by 2s)

1 answer

The center of the circle is at (-1, 2) because the equation is in the form (x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center and r is the radius.

The radius of the circle is 4 because the equation is in the form (x - h)^2 + (y - k)^2 = r^2 and we can see that r^2 = 16.

To graph the circle, we can plot the center (-1, 2) as a point on the graph paper. Then we can count out 4 units in each direction from the center and plot those points to form the circle.

Here is the graph of the circle:

![Graph of circle with equation (x+1)^2 + (y-2)^2 = 16](https://i.imgur.com/prHwqma.png)