8. Conic Sections

Circles

College Algebra

8. Conic Sections

Circles

Multiple Choice

Find the equation for the following circle:

$x^2+y^2=4$

$\left(x+1\right)^2+y^2=4$

$\left(x-1\right)^2+y^2=4$

$\left(x+1\right)^2+y^2=16$

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Textbook Question

Without actually graphing, identify the type of graph that each equation has.

$x^2+y^2=144$

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Textbook Question

Without actually graphing, identify the type of graph that each equation has.

$\frac{\left(x+3\right)^2}{16}+\frac{\left(y-2\right)^2}{16}=1$

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Textbook Question

Identify and sketch the graph of each relation.

$3x^2+6x+3y^2-12y=12$

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Multiple Choice

Sketch a graph of the circle based on the following equation: $x^{2} + {(y - 1)}^{2} = 9$

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Multiple Choice

Sketch a graph of the circle based on the following equation: ${(x - 2)}^{2} + {(y + 3)}^{2} = 1$

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Multiple Choice

Determine if the equation $x^2+y^2-2x+4y-4=0$ is a circle, and if it is, find its center and radius.

Determine if the equation $x^{3} + y^{2} + 4 x - 8 y + 4 = 0$ is a circle, and if it is, find its center and radius.

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