Evaluate definite integrals involving algebraic functions using the Fundamental Theorem of Calculus

Find the polar equation of a conic given its focus, eccentricity, and directrix

Find the polar equation of a conic given its focus, eccentricity, and directrix

Identify the type of conic from its polar equation

Identify the type of conic from its polar equation

Find the location of a point after a rotation of axes

Identify the type of conic from its polar equation

Use parabolas in applications

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

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

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

Eliminate the parameter in trigonometric parametric equations