You can use the equation of the circle with center at (h,k) and the radius of f units.
The correct option for the given condition is
Option C: 
<h3>What is the equation of the circle with the center at (h,k) and radius of r units?</h3>
If a circle has center at (h,k) and radius is of r units, then its equation is given as

<h3>How to form the equation of the circle with given conditions?</h3>
Since the graphed circle has center at x = 4 and y = 5, thus we have
(h,k) = (x coordinate of center, y coordinate of center ) = (4,5)
And since the radius of the needed circle is needed to be of 2 units, thus,
r = 2 units
Using the above specified formula, we get the equation of the needed circle as

Thus,
The correct option for the given condition is
Option C: 
Learn more about equation of circles here:
brainly.com/question/15848342