Exam 9: Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Find the standard form of the equation of a hyperbola with center (0,0), transverse x-axis, and asymptotes y = 3x and y = -3x.

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 hyperbola from the given graph.

Find an equation for the parabola with vertex (4, 1) and focus (4, 5).

Graph the curve defined by the parametric equations.

Graph the second-degree equation. (Hint: Transform the equation into an equation that contains no xy term.)

Find the standard form of the equation of the hyperbola with foci (0, -8) and (0, 8), and vertices (0, 6) and (0, -6).

Graph the system of inequalities.

The given parametric equations define a plane curve. Find an equation in rectangular form that also corresponds to the plane curve. ,

Find the standard form of the hyperbola with the following equation. 9x² - 16y² - 36x + 160y - 508 = 0

Find the standard form of the hyperbola with the following equation. 6y² - 3x² - 84y - 24x = 20

Solve the system of equations by apply any method. X² + y² = 2 -x + y = 0

Find the area enclosed by the system of inequalities:

Find the standard form of the equation of the hyperbola with foci (0, 10) and (0, -10), and vertices (0, 8) and (0, -8).

Graph the hyperbola.

Graph each equation and find the point(s) of intersection. X² + y² = 36 X² - y = -6

Match the ellipse to the equation.

Graph each equation and find the point(s) of intersection. X² + y² = 81 X - y = -9

Graph the ellipse.

Solve the system of equations by applying the substitution method. Y = x² - 5 Y = x - 6