Adjust sliders [i]a[/i], [i]b[/i] and c to see how the graph of [math]y=ax^2+bx+c[/math] changes. What transformation (translation, dilation or reflection) occurs as you adjust each slider in turn? What is the size and direction of each transformation?[br]Hide the graph of [math]y=ax^2+bx+c[/math] by clicking on the blue circle in the left panel. Make the graph of [math]y=A\left(x-B\right)^2+C[/math] visible by clicking on the circle in front of it on the left panel. Adjust sliders [i]A[/i], [i]B[/i] and [i]C[/i] to see how this graph alters. What transformation is each slider responsible for? What size and direction is each transformation?[br]Is [math]A=a[/math], [math]B=b[/math] and [math]C=c[/math]?