Graphs of non-linear equations

Understand nonlinear relationship between two variables.
Make connections between algebraic and graphical representations.
Choose a graph corresponding to a given nonlinear equation.
Interpret graphs to solve systems of equations.
Choose a nonlinear equation corresponding to a given graph.
Find the equation of a curve given a verbal description of a graph.
Find key features of the graph of a linear function from its equation.
Determine the impact on a graph of a change in the defining equation.