The properties are as follows
Vertex (h,k)
Opening: Opens up if a>0, and opens down if a
Extrema: Maximum if a>0, minimum if a<0. Extrema at h=-b/2a, and value at k = f(-b/2a)
Shift: h units left for f(x +h) and h units right for f(x-h), k units up for f(x)+k, and k units for f(x)-k
Axis of symmetry: x=h or x=-b/2a
y-intercept: value of c or find f(0)
x-intercept: find x for f(x)=0
Domain: (- ꚙ,ꚙ)
Range: Opens up [h, ꚙ) Opens down (-ꚙ,h]