Move to the "a" slider so that it is greater than 1. How did the graph change compared to [math]y=x^2[/math] as the a slider got greater than 1? How did the equation change?
The graph got narrower. The [i]a[/i] unit was multiplied to [math]x^2[/math]
Move to the "a" slider so that it is between 0 and 1. How did the graph change compared to [math]y=x^2[/math] as the a slider got closer to 0? How did the equation change?
The graph got wider. The [i]a[/i] unit was multiplied to [math]x^2[/math][br]
Move to the "a" slider so that it is between 0 and 1. How did the graph change compared to [math]y=x^2[/math] as the a slider got closer to 0?
The graph got wider.
Move to the "a" slider so that it is less than 0. How did the graph change compared to [math]y=x^2[/math]?
The graph reflected downward.
Consider [math]y=-2\left(x+3\right)^2+8[/math]. How would you expect the graph to compare to [math]y=x^2[/math]? Now move the sliders to see!
It would reflect downward and be narrower. It would also shift left three units and up eight units.