Exam 8: Conics and Systems of Nonlinear Equations and Inequalities

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

Solve the system of equations by applying the substitution method.

Graph the nonlinear inequality.

Graph the nonlinear inequality.

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. Select the choice that best describes the graph of the equation.

Graph the ellipse.

Find an equation for the parabola with vertex (8, 3) and focus (8, 10).

Find the standard form of the equation of an ellipse with vertices and and minor axis and

Graph the hyperbola.

Graph the ellipse.

Find the length of the latus rectum of the parabola with equation - 18y - 4x + 77 = 0.

Solve the system of equations by applying the elimination method.

Graph each equation and find the point(s) of intersection.

Find the standard form of the equation of an ellipse with vertices (0, -8) and (0, 8) and minor axis (-3, 0) and (3, 0).

Find the vertex of the parabola with equation = 20( y - 9).

Find the equation of the hyperbola from the given graph.

Find the length of the latus rectum of the parabola with equation - 16x - 8y + 120 = 0.

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

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

Match the graph to the nonlinear inequality.