Question

Write the standard equation of the circle in the graph. Picture included.

Answer 1

Option 1:

`(x-3)^2+(y+2)^2=9`

Explanation:

We can observe the given graph to find the center and radius

By observing the graph we can conclude that the center of the circle is at

x = 3 and y = -2 which means the center is:

(h,k) = (3,-2)

Similarly the radius is 3 because the distance between the center and boundary of circle is 3 units.

So, r = 3

The standard form of equation of a circle is:

`(x-h)^2+(y-k)^2 = r^2`

Putting the values of h,k and r

`(x-3)^2+(y-(-2))^2=(3)^2\\(x-3)^2+(y+2)^2=9`

Hence, the correct answer is option 1 ..