Parabolas with Sliders - Putting it all together

Move to the "a" slider so that it is greater than 1. How did the graph change compared to as the a slider got greater than 1? How did the equation change?

Move to the "a" slider so that it is between 0 and 1. How did the graph change compared to as the a slider got closer to 0? How did the equation change?

Move to the "a" slider so that it is between 0 and 1. How did the graph change compared to as the a slider got closer to 0?

Move to the "a" slider so that it is less than 0. How did the graph change compared to ?

Consider . How would you expect the graph to compare to ? Now move the sliders to see!