Activity 1.5.2.
Open a browser and point it to Desmos. In Desmos, enter
q(x) = ax^2 + bx + c; you will be prompted to add sliders for \(a\text{,}\) \(b\text{,}\) and \(c\text{.}\) Do so. Then begin exploring with the sliders and respond to the following questions.
(a)
(b)
(c)
(d)
Which parameter seems to have the simplest effect? Which parameter seems to have the most complicated effect? Why?
(e)
Is it possible to find a formula for a quadratic function that passes through the points \((0,8)\text{,}\) \((1,12)\text{,}\) \((2,12)\text{?}\) If yes, do so; if not, explain why not.

