Exam 8: Conics and Systems of Nonlinear Equations and Inequalities

Find the vertex of the parabola with equation - 14y - 24x + 25 = 0.

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

Graph the hyperbola.

Solve the system of equations by applying the elimination method.

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

Identify the conic section as a parabola, ellipse, circle, or hyperbola:The set of all points exactly 3 units from the point (14, -20).

Find the standard form of the hyperbola with the following equation.25 - 4 - 50x + 40y - 175 = 0

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

Identify the conic section as a parabola, ellipse, circle, or hyperbola:The set of all points equidistant from the point (20, -12) and the line

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

The difference of two numbers is 77 and the difference of their squares is 5,159. Find the numbers.

Write an equation for the parabola in general form.

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

Find an equation for the parabola with focus (8, -2) and directrix y = 4.

Solve the system of equations by apply any method.

Match the ellipse to the equation.

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

Find the standard form of the equation of an ellipse with foci (-2, 0) and and vertices and

Identify the conic section as a parabola, ellipse, circle, or hyperbola:The set of all points whose distance from the point (-5, 9) plus the distance from the point is exactly 8 units.

Find the focus of the parabola with equation = 24( y - 8).