Quadratic Functions (Graph & Equation Anatomy)

Applet contains 3 sliders: "a" slider, "h" slider, and "k" slider. [br]The equation of any quadratic function (with "a" not = to zero) is ALWAYS a parabola. [br]Move the sliders around to see the changes in the equation of a the displayed parabola. (The equation will change as you move any slider.) [br][br]Questions are contained below the applet.
Questions: [br][br]1) How does the parameter "h" seen in the equation of the parabola?[br]2) How does the parameter "k" seen in the equation of the parabola?[br]3) What effect(s) does the parameter "a" have on the graph (parabola)? Explain in detail. [br]4) Are the coordinates (x, y) of the vertex of the parabola made evident in its equation? If so, how? Explain in detail.

Information: Quadratic Functions (Graph & Equation Anatomy)