Standard Form y=a(x-p)^2+q
Advantages – With standard form, we are able to find the vertex, the axis of symmetry, and the minimum and maximum values.
General Form y=ax^2+bx+c
Advantages – With general form, we’re able to find the y intercept. You are also able to convert to standard for or factored form easily.
Factored Form ex. y=(x-2)(x-6)
Advantages – With factored form, we’re able to easily find the zeros of the function. With the zeros we can find the axis of symmetry.