Parabolas: Quick Anatomy Exploration

Move the sliders on the left side. Drag V around too. As you do, observe what happens to the graph on the right.
Move the sliders on the left side. Drag V around too. As you do, observe what happens to the graph on the right.
How does messing with [math]h[/math] affect the graph of a parabola?
How does messing with [math]k[/math] affect the graph of a parabola?
A parabola with equation [math]\left(y-k\right)^2=4p\left(x-h\right)[/math] where [math]p>0[/math]
A parabola with equation [math]\left(x-h\right)^2=4p\left(y-k\right)[/math] where [math]p<0[/math]
A parabola with equation [math]\left(y-k\right)^2=4p\left(x-h\right)[/math] where [math]h>0[/math] and [math]k>0[/math]
What exactly does [math]p[/math] tell us? Be specific.
What exactly do [math]h[/math] and [math]k[/math] tell us? Be specific.
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Information: Parabolas: Quick Anatomy Exploration