Exam 8: Conics and Systems of Nonlinear Equations and Inequalities

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Match the parabola to an equation in general form. Match the parabola to an equation in general form.

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Graph the hyperbola. Graph the hyperbola.

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Write an equation for the parabola in standard form. Write an equation for the parabola in standard form.

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Find the standard form of the equation of a hyperbola with foci (6, 13) and Find the standard form of the equation of a hyperbola with foci (6, 13) and   and vertices   and  and vertices Find the standard form of the equation of a hyperbola with foci (6, 13) and   and vertices   and  and Find the standard form of the equation of a hyperbola with foci (6, 13) and   and vertices   and

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Find the equation of the directrix of the parabola with equation Find the equation of the directrix of the parabola with equation   - 6x - 32y + 201 = 0. - 6x - 32y + 201 = 0.

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Match the graph to the system of inequalities. Match the graph to the system of inequalities.

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Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

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Find the standard form of the equation of an ellipse with vertical major axis of length 12 and endpoints of minor axis Find the standard form of the equation of an ellipse with vertical major axis of length 12 and endpoints of minor axis   and  and Find the standard form of the equation of an ellipse with vertical major axis of length 12 and endpoints of minor axis   and

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Graph the nonlinear inequality. Graph the nonlinear inequality.

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Graph the ellipse. Graph the ellipse.

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Solve the system of equations by applying the elimination method. Solve the system of equations by applying the elimination method.

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Find the standard form of the equation of an ellipse with foci (0, 1) and Find the standard form of the equation of an ellipse with foci (0, 1) and   and vertices   and  and vertices Find the standard form of the equation of an ellipse with foci (0, 1) and   and vertices   and  and Find the standard form of the equation of an ellipse with foci (0, 1) and   and vertices   and

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Find the general equation of the hyperbola from the given graph. Find the general equation of the hyperbola from the given graph.

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Match the parabola to the equation. Match the parabola to the equation.

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Solve the system of equations by applying the substitution method. Solve the system of equations by applying the substitution method.

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Find the standard form of the equation of an ellipse with horizontal major axis with length 16 and endpoints of minor axis (0, -5) and (0, 5).

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Graph the hyperbola. Graph the hyperbola.

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Find the standard form of the ellipse with the following equation. Find the standard form of the ellipse with the following equation.

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Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

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Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

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