Introduction to graphing parabolas. Students start by making a table of values and graphing y=x^2.
They then explore (using tables and graphs) what happens when adding/subtracting a value (vertical shifts), adding/subtracting a value within the parent function (horizontal shifts), and finally multiplying by a coefficient (reflections and stretching/shrinking).
Students are then asked to apply their observations by graphing WITHOUT making tables.
The last page is a bonus/challenge page. If students have learned to complete the square already, they can complete the square to change from standard form to vertex form to be able to graph more easily.