Coefficients that affect the graph
Explain how the graph of the function h(x) = ax^{2} + bx + c changes when you modify a, b, and c.

Extensions 
Explore the possible shapes of functions in the form f(x) = ax^{4}+ bx^{3} + cx^{2} + dx + e, where a, b, c, d, and e are real numbers. Describe your findings for the various cases.

Submit your idea for an investigation to InterMath.
