#### Answer

Center: $(-1, 4)$
Radius = $5$ units

#### Work Step by Step

RECALL:
The standard form of the equation of a circle with a center at $(h,k)$ and a radius of $r$ units is:
$(x−h)^2+(y−k)^2=r^2$
The given equation can be written as $(x+1)^2+(y−4)^2=5^2$.
This is the same form as the standard equation above, so its center must be at the point $(−1, 4)$ and its radius must be 5.
Thus, the circle has:
center: $(−1,4)$
radius = $5$ units
To graph the equation, do the following steps:
(1) Plot the center $(-1, 4)$, and then locate the points 5 units to the left, to the right, above, and below the circle's center.
These points are:
$(−6,4)
\\(4, 4)
\\(-1, 9)
\\(-1, -1)$
(ii) Connect the four points (excluding the center) together using a curve to form a circle.
(Please refer to the attached image in the answer part above.)