This environment allows you to explore families of linear, quadratic and absolute value functions. [br][br]Can you make any linear function with this environment?[br]Can you make any quadratic function with this environment?[br]Can you make any absolute value functions with this environment?[br][br]For the cases examined in this environment[br][br]•Vertical sliding of f(x) leads to f(x) + a. [What happens if a>0, a<0][br][br]•Horizontal sliding of f(x) leads to f(x+a). [What happens if a>0, a<0][br][br]•Vertical stretching & squeezing of f(x) leads to af(x). [What happens if a<0, 01][br][br]•Horizontal stretching & squeezing of f(x) leads to f(x/a). [What happens if a<0, 01][br][br]Do you believe these statements are true for any function of one variable? If so, can you prove it? If not, can you find a counterexample?[br][color=#ff0000][i][b][br]What questions could/would you pose to your students based on this applet?[/b][/i][/color]