Standard:

F.IF.7

• 7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
• 7a. Graph linear and quadratic functions and show intercepts, maxima, and minima.   

Essential Questions:

• How are quadratic functions used to model, analyze, and interpret mathematical relationships?

• What are the different ways to solve a quadratic equation, and when is each appropriate?

• How can analytic and graphical methods be used to support each other in the solution of a problem?

Learning Targets:

• I can graph a quadratic function expressed in symbolic form.

• I can identify the vertex, the axis of symmetry, the roots, and the y-intercept by inspection of the graph of a quadratic function.

• I can identify the domain and range, the interval behavior, and whether the function is increasing or decreasing and whether there are maximum and minimum values.