$x$-intercept
$\left ( 1 , 0 \right )$, $\left ( - 2 , 0 \right )$
$y$-intercept
$\left ( 0 , - 2 \right )$
Minimum
$\left ( - \dfrac { 1 } { 2 } , - \dfrac { 9 } { 4 } \right )$
Standard form
$y = \left ( x + \dfrac { 1 } { 2 } \right ) ^ { 2 } - \dfrac { 9 } { 4 }$