$x$-intercept
$\left ( \dfrac { 5 } { 2 } , 0 \right )$, $\left ( - \dfrac { 7 } { 2 } , 0 \right )$
$y$-intercept
$\left ( 0 , - 35 \right )$
Minimum
$\left ( - \dfrac { 1 } { 2 } , - 36 \right )$
Standard form
$y = 4 \left ( x + \dfrac { 1 } { 2 } \right ) ^ { 2 } - 36$