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Formula
Graph
$y = 2 x ^ { 2 } - 5 x - 3$
$y = 0$
$x$Intercept
$\left ( 3 , 0 \right )$, $\left ( - \dfrac { 1 } { 2 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 3 \right )$
Minimum
$\left ( \dfrac { 5 } { 4 } , - \dfrac { 49 } { 8 } \right )$
Standard form
$y = 2 \left ( x - \dfrac { 5 } { 4 } \right ) ^ { 2 } - \dfrac { 49 } { 8 }$
$$2 x ^ { 2 } - 5 x - 3 = 0$$
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