Converting Between Different Forms of a Quadratic
Standard form is ax^2 + bx + c.
Vertex form is a(x-h)^2 + k, which reveals the vertex and axis of symmetry.
Factored form is a(x-r)(x-s), which reveals the roots.
If we have a quadratic ax^2 + bx +c with solutions r1 and r2, then we can factor the quadratic as