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) $$- 1 - \sqrt { \frac { 4 } { 27 } } \leq x \leq - 1 + \sqrt { \frac { 4 } { 27 } }$$

Question

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)​ $$- 1 - \sqrt { \frac { 4 } { 27 } } \leq x \leq - 1 + \sqrt { \frac { 4 } { 27 } }$$

Quizplus · Accepted Answer

The Answer of 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)​ $$- 1 - \sqrt { \frac { 4 } { 27 } } \leq x \leq - 1 + \sqrt { \frac { 4 } { 27 } }$$

Use a Graphing Utility to Graph the Equation y=16x2−6x+1y = \frac { 1 } { 6 } x ^ { 2 } - 6 x + 1y=61​x2−6x+1

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