Answer
$\color{blue}{x^2+(y-4)^2=16}$
Work Step by Step
RECALL:
The center-radius form of a circle's equation is $(x-h)^2+(y-k)^2=r^2$ with center at $(h, k)$ and a radius of $r$ units.
Thus, the given circle's equation in center-radius form is:
$(x-0)^2+(y-4)^2=4^2
\\\color{blue}{x^2+(y-4)^2=16}$
To graph the circle, perform the following steps:
(1) Plot the center.
(2) Plot the points 4 units above, below, to the left, and to the right of the center.
(3) Connect the four points in Step 2 using a curve to form a circle.
