Exam 10: The Conic Sections

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Graph the hyperbola. -Graph the hyperbola. -

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Graph the conic. -Graph the conic. -

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Identify the equation as a parabola, ellipse, or circle. -Identify the equation as a parabola, ellipse, or circle. -

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Solve the problem. -A circular pond is being installed in the corner of a yard, as shown. The installer needs to know the value of x in feet. Find x to the nearest tenth of a foot. Solve the problem. -A circular pond is being installed in the corner of a yard, as shown. The installer needs to know the value of x in feet. Find x to the nearest tenth of a foot.   a = 46 ft a = 46 ft

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Use the discriminant to determine whether the graph of the equation is an ellipse (or circle), a hyperbola, or a parabola. -Use the discriminant to determine whether the graph of the equation is an ellipse (or circle), a hyperbola, or a parabola. -

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Graph the ellipse. -Graph the ellipse. -

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Write an equation for the ellipse. -Foci Write an equation for the ellipse. -Foci   and y-intercepts  and y-intercepts Write an equation for the ellipse. -Foci   and y-intercepts

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Use the value of AC to identify the conic. -Use the value of AC to identify the conic. -

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Match the given graph with its equation. -Match the given graph with its equation. -

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Match the given graph with its equation. -Match the given graph with its equation. -

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Graph the conic. -Graph the conic. -

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Write the equation for the circle described. -Center at (7, 0), radius 12

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Solve the problem. -A circular pond is being installed in the corner of a yard, as shown. The installer needs to know the value of x in feet. Find x to the nearest tenth of a foot. Solve the problem. -A circular pond is being installed in the corner of a yard, as shown. The installer needs to know the value of x in feet. Find x to the nearest tenth of a foot.   13 ft 13 ft

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Write an equation in the x'y'-system for the graph of the given equation in the xy-system using the given angle of rotation. -Write an equation in the x'y'-system for the graph of the given equation in the xy-system using the given angle of rotation. -

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Identify the equation as a parabola, circle, ellipse, or hyperbola. -Identify the equation as a parabola, circle, ellipse, or hyperbola. -

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Find the coordinates of the vertex of the parabola. -Find the coordinates of the vertex of the parabola. -

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Graph the parabola. -Graph the parabola. -

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Write an equation for the ellipse. -Foci Write an equation for the ellipse. -Foci   and x-intercepts  and x-intercepts Write an equation for the ellipse. -Foci   and x-intercepts

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Find the center and the radius of the circle. -Find the center and the radius of the circle. -

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Write an equation for the ellipse. -Foci Write an equation for the ellipse. -Foci   and x-intercepts  and x-intercepts Write an equation for the ellipse. -Foci   and x-intercepts

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