Problem preview

G-GPE.1 Warmup M2-041-A10-V03

Derive the equation of a circle from center/radius and complete the square to identify center/radius.

Graph a circle from center, radius, and four exact anchors

Problem

Graph \((x~+~1)^{2}~+~(y~-~6)^{2}~=~7\) by reading its center and exact positive radius. Report the center and the exact radical left, right, bottom, and top anchor points before drawing the circle.

Answer choices

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Center (−1,6); anchors (−4.5,6), (2.5,6), (−1,2.5), (−1,9.5).

Center (1,−6); anchors (1−√7,−6), (1+√7,−6), (1,−6−√7), (1,−6+√7).

Center (−1,6); anchors (−1−√7,6), (−1+√7,6), (−1,6−√7), (−1,6+√7).

Center (−1,6); anchors (−8,6), (6,6), (−1,−1), (−1,13).

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Curriculum context

Course: Math II
Standard: G-GPE.1
Category: Geometry
Domain: Expressing Geometric Properties with Equations
Objective: Derive the equation of a circle from center/radius and complete the square to identify center/radius.
Problem type: Graph a circle from center, radius, and four exact anchors