Question

Can someone help me with forms of quadratic function? So there's standard form, factored form, and graphing form (a.k.a vertex form): f(x)=ax^2+bx+c, which gets the y-intercept (0,c)
f(x)=a(x+b)(x+c), which gets the x-intercepts (-b, 0) and (-c, 0)
f(x)=a(x-h)^2+k, which gets the vertex (h, k).

I was given 4 parabolas, with a labeled point(s), and we have to basically retrace the steps and make up an equation that fits, based on the data given.