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Graphing Circles - Graph to Equation

Level 1

This math topic focuses on practicing how to convert the graphical representation of circles into their corresponding algebraic equations. Titled "Graphing Circles - Graph to Equation", it forms part of a more extensive study on graphing circles. This topic is designed to enhance understanding of the relationship between a circle's graph and its equation, specifically honing skills in identifying the center and radius from a graph to formulate the standard equation of a circle.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Graphing Circles - Graph to Equation Worksheet

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Graphing Circles - Graph to Equation
1
An svg image showing a math problem
Which equation would create this graph?
a A LaTex expression showing (x-2) to the power of 2 + (y+1) to the power of 2 = 2 to the power of 2
b A LaTex expression showing (x-2) to the power of 2 + (y+1) to the power of 2 = 5 to the power of 2
2
An svg image showing a math problem
Which equation would create this graph?
a A LaTex expression showing (x-3) to the power of 2 + (y+1) to the power of 2 = 2 to the power of 2
b A LaTex expression showing (x-3) to the power of 2 + (y+1) to the power of 2 = 7 to the power of 2
3
An svg image showing a math problem
Which equation would create this graph?
a A LaTex expression showing (x) to the power of 2 + (y-2) to the power of 2 = 8 to the power of 2
b A LaTex expression showing (x) to the power of 2 + (y-2) to the power of 2 = 3 to the power of 2
4
An svg image showing a math problem
Which equation would create this graph?
a A LaTex expression showing (x+2) to the power of 2 + (y-5) to the power of 2 = 3 to the power of 2
b A LaTex expression showing (x+2) to the power of 2 + (y+5) to the power of 2 = 3 to the power of 2
5
An svg image showing a math problem
Which equation would create this graph?
a A LaTex expression showing (x+4) to the power of 2 + (y+1) to the power of 2 = 5 to the power of 2
b A LaTex expression showing (x-4) to the power of 2 + (y+1) to the power of 2 = 5 to the power of 2
6
An svg image showing a math problem
Which equation would create this graph?
a A LaTex expression showing (x) to the power of 2 + (y-4) to the power of 2 = 1 to the power of 2
b A LaTex expression showing (x) to the power of 2 + (y-4) to the power of 2 = 6 to the power of 2
7
An svg image showing a math problem
Which equation would create this graph?
a A LaTex expression showing (x-4) to the power of 2 + (y+3) to the power of 2 = 5 to the power of 2
b A LaTex expression showing (x-4) to the power of 2 + (y-3) to the power of 2 = 5 to the power of 2
8
An svg image showing a math problem
Which equation would create this graph?
a A LaTex expression showing (x-1) to the power of 2 + (y+3) to the power of 2 = 5 to the power of 2
b A LaTex expression showing (x+1) to the power of 2 + (y+3) to the power of 2 = 5 to the power of 2