Let's start by recalling the standard form of an equation of a circle.
(x- h)^2+(y- k)^2= r^2
In this form, ( h, k) is the center of the circle and r is its radius. We are told that the center of the circle is ( 1, - 4) and its radius is 4. This information is enough to write the equation.
(x- 1)^2+(y-( - 4))^2= 4^2
⇕
(x-1)^2+(y+4)^2=16
Now, let's draw our circle. To do so, we will isolate the y-variable.
