Quadratic in factor form
A second way to represent Quadratic functions is in Factor Form: f(x)=a(x-p)(x-q) This one can get a little confusing, there's a little trick to it, so stick with it. To begin with, move "p" and "q" and watch the function change. Also, note that when "p" and "q" are positive, they are subtracted from x.
What do "p" and "q" control in this function? describe what is happening in your own words.
Try moving "a". How does a change the shape of our parabola? Is this similar or different to how it worked in the general form?