the standard form is:
[tex](y-k)^{}=4p(x-h)^2[/tex]the vertex is (h,k)
if the quadratic function is not in the standard form we get
[tex]f(x)=ax^2+bx+c[/tex]the vertex is:
[tex](-\frac{b}{2a},f(-\frac{b}{2a}))[/tex]and the symmetry axis is
[tex]x=-\frac{b}{2a}[/tex]