Exam 8: Conics and Systems of Nonlinear Equations and Inequalities

Identify the conic section as a parabola, ellipse, circle, or hyperbola:The set of all points whose distance from the point (3, 14) plus the distance from the point is exactly 7 units.

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

Find an equation for the parabola with focus (14, 3) and directrix x = 4.

Solve the system of equations by applying the elimination method.

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

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

Graph the hyperbola.

Solve the system of equations by applying the substitution method.

Graph the ellipse.

Find the standard form of the equation of the hyperbola with foci (-7, 0) and and vertices and

Find the equation of the hyperbola from the given graph.

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

A family moves into a new home and decides to fence in the yard to give its dog room to roam. If the area that will be fenced in is rectangular and has an area of 30,000 square feet, and the length is three times as much as the width, how many linear feet of fence should they buy?

Find the focus of the parabola with equation = -12(x - 2).

Find the standard form of the equation of an ellipse with vertical major axis with length 18 and minor axis of length 10 centered at

Find the standard form of the equation of the hyperbola from the given graph.

Find the vertex of the parabola with equation = -24(x - 4).

Match the parabola to an equation in standard form.

Find the standard form of the equation of an ellipse with foci (4, 3) and and vertices and

Match the equation to the parabola.