Use a Graphing Utility to Graph the Equation $y = \frac { 1 } { 6 } x ^ { 2 } - 6 x + 1$

Multiple Choice

Use a graphing utility to graph the equation.Use the graph to approximate the values of x that satisfy the inequality.
Equation: $y = \frac { 1 } { 6 } x ^ { 2 } - 6 x + 1$
Inequality: $y \leq 0$

A) $x \leq - 1 - \sqrt { \frac { 4 } { 27 } } , 1 - \sqrt { \frac { 4 } { 27 } } \leq x \leq 1 + \sqrt { \frac { 4 } { 27 } }$
B) $1 - \sqrt { \frac { 4 } { 27 } } \leq \mathrm { x } \leq 1 + \sqrt { \frac { 4 } { 27 } }$
C) $x \leq 1 - \sqrt { \frac { 4 } { 27 } } , 1 + \sqrt { \frac { 4 } { 27 } } \leq x$
D) $x \leq - 1 - \sqrt { \frac { 4 } { 27 } } , - 1 + \sqrt { \frac { 4 } { 27 } } \leq x$
E) $- 1 - \sqrt { \frac { 4 } { 27 } } \leq x \leq - 1 + \sqrt { \frac { 4 } { 27 } }$