Given the function $f(x)= -2 x^2+ 16 x - 14$, algebraically determine the vertex, $x$-intercepts, and $y$-intercept.

Its vertex is (, ).

Its $x$-intercepts are .
Note: If there is more than one answer enter them separated by commas (i.e.: (1,2),(3,4)).

Its $y$-intercept is .