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Formula
Graph
$y = 2 x ^ { 2 } + 3 x - 1$
$y = 0$
$x$Intercept
$\left ( - \dfrac { \sqrt{ 17 } } { 4 } - \dfrac { 3 } { 4 } , 0 \right )$, $\left ( - \dfrac { 3 } { 4 } + \dfrac { \sqrt{ 17 } } { 4 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 1 \right )$
Minimum
$\left ( - \dfrac { 3 } { 4 } , - \dfrac { 17 } { 8 } \right )$
Standard form
$y = 2 \left ( x + \dfrac { 3 } { 4 } \right ) ^ { 2 } - \dfrac { 17 } { 8 }$
$$2 x ^ { 2 } + 3 x - 1 = 0$$
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