$\"\"$

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The circle equation is $\"\"$ .

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The standard form of a circle equation is $\"\"$ , where center $\"\"$ and radius $\"\"$ .

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Convert the given circle equation into standard form by using completing square method.

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$\"\"$ Circle equation $\"\"$ .

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$\"\"$

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To complete the square add $\"\"$ and $\"\"$ to each side of equation.

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$\"\"$

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$\"\"$ $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Compare it with standard form.

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Center $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ Graph the circle with center $\"\"$ and radius $\"\"$ .

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Find four points " radius away from the center in the up, down, left and right direction".

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Up $\"\"$ , down $\"\"$ , left $\"\"$ and right $\"\"$ .

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Draw the coordinate plane.

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1). Plot the center at $\"\"$ .

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2). Plot four points " radius away from the center in the up, down, left and right direction".

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3). Sketch the circle.

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$\"\"$

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$\"\"$

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$\"\"$ The circle equation is $\"\"$ .

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Find the intercepts.

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First find the $\"\"$ -intercept, by substituting $\"\"$ in the original equation.

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$\"\"$

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$\"\"$

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Solve for $\"\"$ .

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Apply quadratic formula, $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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In this case roots are imaginary, so there is no $\"\"$ -intercepts.

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$\"\"$

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Next find the $\"\"$ -intercept let $\"\"$ in the original equation.

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$\"\"$

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Solve for $\"\"$ .

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$\"\"$

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$\"\"$

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Take square root each side.

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$\"\"$

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$\"\"$

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$\"\"$ -intercept is $\"\"$ .

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$\"\"$

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$\"\"$ Center $\"\"$ and $\"\"$ .

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$\"\"$ The circle graph:

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$\"\"$

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$\"\"$ Intercept is $\"\"$ .