A quadratic function has its vertex at the point (3,8)\displaystyle {\left({3},-{8}\right)}. The function passes through the point (1,2)\displaystyle {\left({1},{2}\right)}. When written in vertex form, the function is f(x)=a(xh)2+k\displaystyle {f{{\left({x}\right)}}}={a}{\left({x}-{h}\right)}^{{2}}+{k}, where:

a=\displaystyle {a}=   .

h=\displaystyle {h}=   .

k=\displaystyle {k}=   .