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