Question

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A circle is plotted on a coordinate plane.
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The horizontal axis is labeled x and goes from negative 10 to 10 intervals of 1 labeled every 5 units. The vertical axis is labeled y and goes from negative 10 to 10 in intervals of 1 labeled every 5 units. A circle with a radius of 5 units and a center at left parenthesis negative 4 comma 2 right parenthesis is shown.

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

(1 point)

(x−4)2+(y+2)2=5


(x−2)2+(y−4)2=5


(x+2)2+(y+4)2=25


(x+4)2+(y−2)2=25

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Answer 1

Equation: (x + 4)^2 + (y − 2)^2 = 25

Reason: center (h,k) = (−4,2) gives (x − (−4))^2 + (y − 2)^2 = r^2 = 25, so (x+4)^2 + (y−2)^2 = 25.