Problem

Graph \((x~-~3)^{2}~+~(y~+~2)^{2}~=~16\) by reading its center and positive radius. Report the center and the exact left, right, bottom, and top anchor points before drawing the circle.

Coordinate plane labeled with the ungraphed circle equation (x−3)²+(y+2)²=16; center and anchors are not shown.

Big Picture

What this problem is really about

An exact circle graph starts with parameters before any sketching. We’ll decode the center signs, take the nonnegative square root for the radius, move that distance left and right while holding y fixed, move it down and up while holding x fixed, and draw through the four verified anchors.

Answer choices

Choose your path.

Preview only

Center (3,−2); anchors (−13,−2), (19,−2), (3,−18), (3,14).

Center (3,−2); anchors (1,−2), (5,−2), (3,−4), (3,0).

Center (−3,2); anchors (−7,2), (1,2), (−3,−2), (−3,6).

Center (3,−2); anchors (−1,−2), (7,−2), (3,−6), (3,2).

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Graph \((x~-~3)^{2}~+~(y~+~2)^{2}~=~16\) by reading its center and positive radius. Report the center and the exact left, right, bottom, and top anchor points before drawing the circle.

What this problem is really about

Turn the preview into practice.

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