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Formula
Graph
$y = 3 x ^ { 2 } - 5 x + 1$
$y = 0$
$x$Intercept
$\left ( \dfrac { 5 } { 6 } - \dfrac { \sqrt{ 13 } } { 6 } , 0 \right )$, $\left ( \dfrac { \sqrt{ 13 } } { 6 } + \dfrac { 5 } { 6 } , 0 \right )$
$y$Intercept
$\left ( 0 , 1 \right )$
Minimum
$\left ( \dfrac { 5 } { 6 } , - \dfrac { 13 } { 12 } \right )$
Standard form
$y = 3 \left ( x - \dfrac { 5 } { 6 } \right ) ^ { 2 } - \dfrac { 13 } { 12 }$
$$3 x ^ { 2 } - 5 x + 1 = 0$$
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