General form: general form is the equation  $ax^2 + bx + c$,and it can tells how to find the y intercept, if it’s up or down and what it’s congruent to.
Standard form: standard form is the equation $y = a(x - p)^2 + q$ and it’s the most helpful out of the 3 options because you can find the vertex, if it’s up or down, what it’s congruent to and the Axis of symmetry.
Factored form: Factored form is the equation  $a(x - x1)(x - x2)$ and it can tell you what the x intercepts are, if it’s up or down and what it’s congruent to.