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Find the polar equation of a conic given its focus, eccentricity, and directrix
Identify the type of conic from its polar equation
Find the location of a point after a rotation of axes
Use parabolas in applications
Graph a parabola from an equation given in general form
Write the equation of a parabola with its vertex not at the origin in standard form
Graph a parabola with its vertex not at the origin
Identify key components of a parabola with its vertex not at the origin
Identify key components of a parabola from an equation
Use hyperbolas in applications
Write the equation of a hyperbola not centered at the origin
Graph an ellipse where the equation is not given in standard form
Write the equation in standard form of an ellipse not centered at the origin
Use parametric equations in applications
Graph parametric equations and trigonometric parametric equations by plotting points
Eliminate the parameter in trigonometric parametric equations
Eliminate the parameter in exponential and logarithmic equations