Identify the graph of the equation (x−1)2+(y+3)2=9.

The center of the circle represented by given equation is (−1,3) and its radius is 3.

Explanation:

An equation of the form (x−h)2+(y−k)2=r2, is the equation of a circle of radius r, with a center at (h,k).

Hence as the equation

(x+1)2+(y−3)2=9

⇔(x−(−1))2+(y−3)2=9=32

and hence the center of the circle represented by this equation is (−1,3) and radius is 3.

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.