# Graphing

You will be able to:

- identify and graph equations that represent ellipses, hyperbolas, circles, and parabolas
- graph circles with center at $(0,0)$ and radius $r$
- use completing the square (or another method) to graph circles with center at $(h,k)$ and find the vertices of and graph parabolas
- find the foci, standard equations and graphs of ellipses and hyperbolas
- identify the transformations that take the graph of $y = f(x)$ to the graph of $y = af(kx + d) + c$

## Self Test, Worked Examples, and Practice Problems