Vertex Form of a Quadratic Function

[size=100]Use the sliders to explore how the values of [color=#ff00ff][b]a[/b][/color], [color=#0000ff][b]b[/b][/color], and [b][color=#00ff00]c[/color][/b] transform the graph of the function y=a(x+b)[sup]2[/sup]+c from the graph of y=x[sup]2[/sup]. The [b][color=#00ffff]Reset Values[/color][/b] button will reset the values of [color=#ff00ff][b]a[/b][/color], [color=#0000ff][b]b[/b][/color], and [b][color=#00ff00]c[/color][/b]; the [b][color=#00ffff]Center at Origin[/color][/b] button will change the view to be centered at the origin; and the [b][color=#00ffff]Play/Replay[/color][/b] button will animate the transformations for [color=#ff00ff][b]a[/b][/color], [color=#0000ff][b]b[/b][/color], and [b][color=#00ff00]c[/color][/b].[/size]

Information: Vertex Form of a Quadratic Function