Identify the center, radius, and graph of x2+(y+1)2=16.

Question

Identify the center, radius, and graph of x^2+(y+1)^2=16.
(a)
Enter the center as an ordered pair, including the comma.
The center is at .....
(b)
Enter the radius exactly. Do not use a decimal approximation.
The radius is .....

Answer 1

The equation of a circle is:

 

(x-h)² + (y-k)² = r²

 

Where:

• (h,k) = the center of the circle
• r = the circle's radius

 

Your equation is:

x² + (y+1)² = 16

(x-0)² + (y-(-1))² = 4²

 

The center is located at (0,-1) and the radius is 4.