Use the sliders that control coefficients a, b and c to move the parabola. [br]Can you predict where the vertex and axis of symmetry will be?

After playing around for a minute or two, try to only change one of the coefficients at a time.[br][br]What does the a coefficient do to the curve?[br]What does the c coefficient do to the curve?[br]What does the b coefficient do to the curve?[br]What is the equation of the axis of symmetry?[br]What formula can you come up with to predict where the axis of symmetry will be?