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5-30.

A circle has the equation x2 + (y + 2)2 = r2. If the circle is shifted 2 units to the left, 5 units up, and the radius is doubled, what will its new equation be? Homework Help ✎

The general equation for a circle is (xh)2 + (yk)2 = r 2
where the center is at (h, k) and the radius has length r.

Be sure to square the doubled radius correctly: (2r)2

(x + 2)2 + (y − 3)2 = 4r 2