identify the center and radius of each. then sketch the graph

Question

(x-1)² +(y+2)² =9

Answer 1

The standard form for a circle is:

 

(x-h)² + (y-k)² = r²

• h = x coordinate of the circle's center
• k = y coordinate of the circle's center
• r = the circle's radius

 

Your equation is:

 

(x-1)² + (y+2)² = 3²

 

Find (h,k), the location of the center, then find the radius, r.  Plot the center on a graph.  Measure out the radius from the center in several directions, then sketch in the circle.