Question

Use the image to answer the question.

A circle is plotted on a coordinate plane, which goes from negative 15 to 5 on the x axis and from negative 10 to 10 on the y axis in intervals of 1 labeled every 5 units. The circle has a radius of 5 units and a center at left parenthesis negative 8 comma 1 right parenthesis.

What is the equation of the circle shown on the graph?

(1 point)

(x−8)2+(y+1)2=6


(x+8)2+(y−1)2=36


(x−8)2+(y+1)2=6


(x+1)2+(y−8)2=36

Answer 1

Answer: (x+8)^2 + (y−1)^2 = 36

Reason: The center is (−8,1), so (x+8)^2+(y−1)^2 = r^2. From the graph the radius is 6, so r^2 = 36.