$(a)$ Use the vertex formula $to$ find the vertex $of$ the following function.

$(b)$ Find the intervals where $fis$ increasing and where $fis$ decreasing.

$f(x)=2x^2-16x+29$

$(a)$ The vertex $is$

$(Typean$ ordered pair.$)$

$(b)$ The function $fis$ increasing for $x$

and decreasing for $x$