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 difference of the distances to the points (-11, 7) and (4, 7) is exactly 1 units.

Graph the ellipse.

Graph the parabola and label the coordinates of the vertex.

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

Solve the system of equations by applying the substitution method.

Find an equation of the form for the parabola with focus (10, -8) and directrix y = 8.

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

Find the standard form of the equation of an ellipse with foci (-3, 0) and and vertices and

Identify the conic section as a parabola, ellipse, circle, or hyperbola:The set of all points equidistant from the point (4, -15) and from the line x = -4.

Find an equation for the parabola with vertex (4, 5) and focus (4, 11).

Solve the system of equations by applying the substitution method.

Graph the ellipse.

Find the standard form of the equation of a hyperbola with center (0, 0), transverse y-axis, and asymptotes and

Find the equation of the directrix of the parabola with equation = -8(x - 3).

Find the standard form of the equation of the hyperbola with foci (0, 3) and and vertices and

Graph the hyperbola.

Find the standard form of the equation of the hyperbola with foci (0, -9) and (0, 9), and vertices (0, 2) and (0, -2).

Write an equation for the parabola in standard form.

Find an equation for the parabola with vertex (-2, 10) and focus (-5, 10).

Find an equation for the parabola with focus (9, 7) and directrix x = 11.