Exam 8: Conics and Systems of Nonlinear Equations and Inequalities

Find the general form of the equation of the ellipse with the given graph.

Find the focus of the parabola with equation - 16y - 4x + 4 = 0.

Graph the ellipse.

Match the graph to the nonlinear inequality.

Find the standard form of the equation of a hyperbola with foci (0, 10) and and vertices and

Identify the conic section as a parabola, ellipse, circle, or hyperbola:The set of all points whose difference of the distances to the points and is exactly 18 units.

Write an equation for the parabola.

Solve the system of equations by applying the elimination method.

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

Find the vertex of the parabola with equation - 2y + 8x + 41 = 0.

Find the standard form of the hyperbola with the following equation.4 - 6 - 8x - 24y = 44

Find an equation for the parabola with vertex (1, 8) and focus (3, 8).

Find the equation of the ellipse with the following properties: major axis vertical with length of 172, minor axis length of 128 and centered at (-6, 8).

Solve the system of equations by applying the substitution method.