Transforming Quadratics Investigation

Press the buttons to explore different transformations of the graph [math]y=x^2[/math]. Press the "Free Transform" Button to enter in your own values for vertical stretch, horizontal translation and vertical translation.

What happens when you add a number to the end of a Quadratic function? What happens when you subtract a number to the end of a Quadratic function? What happens when you add a number inside the square with x in a Quadratic Function? What happens when you subtract a number inside the square with x in a Quadratic Function? What happens when you multiply a number larger than 1 in front of the quadratic function? A fraction? A negative number?