Parabolas with Sliders - Impact of the c value

Move the "c" slider so that it is greater than 0. How did the graph change compared to [math]y=x^2[/math]? How did the equation change?
Move the "c" slider so that it is less than 0. How did the graph change compared to [math]y=x^2[/math]? How did the equation change?
Consider [math]y=\left(x-3\right)^2+1[/math]. How would you expect the graph change compared to [math]y=x^2[/math]? Move the sliders and see!
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