Students will be able to
- graph and recognize the standard cubic function ,
- recognize transformations (translations, dilations, and combinations of these) of the cubic function , both graphically and algebraically,
- identify the equation of a transformation of the standard cubic function from its graph or graph a transformation of the standard cubic function from its equation,
- recognize features of the standard cubic function and its transformations, including the point of rotational symmetry, its end behavior, and its monotonicity.
Students should already be familiar with
- how to graph equations using an input/output table,
- linear and quadratic equations and their graphs.
Students will not cover
- domain and range of cubic functions,
- cubic functions that are not transformations of the standard cubic function,
- solving cubic equations graphically,
- noncubic functions.