Use the sliders that control coefficients a, b and c to move the parabola.
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.
What does the a coefficient do to the curve?
What does the c coefficient do to the curve?
What does the b coefficient do to the curve?
What is the equation of the axis of symmetry?
What formula can you come up with to predict where the axis of symmetry will be?