## Intermediate Algebra for College Students (7th Edition)

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