Problem preview

G-GPE.1 Warmup M2-041-A10-V04

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 \((x~-~4)^{2}~+~(y~-~1)^{2}~=~9\) by reading its center and positive radius. Report the center and the exact left, right, bottom, and top anchor points before drawing the circle.

Answer choices

Choose your path.

Preview only

Center (4,1); anchors (4−√3,1), (4+√3,1), (4,1−√3), (4,1+√3).

Center (−4,−1); anchors (−7,−1), (−1,−1), (−4,−4), (−4,2).

Center (4,1); anchors (1,1), (7,1), (4,−2), (4,4).

Center (4,1); anchors (−5,1), (13,1), (4,−8), (4,10).

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Inside Gozunta

More than a preview

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now

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