Find the maximum value of y. Use a graphing utility to verify your conclusion. Round your answer to three decimal places.
A) 4.000
B) 2.286
C) 0.114
D) 0.327
E) 0.571

Question

Find the maximum value of y. Use a graphing utility to verify your conclusion. Round your answer to three decimal places. ​  ​
A) 4.000 
B) 2.286 
C) 0.114 
D) 0.327 
E) 0.571

Quizplus · Accepted Answer

From the graph, it can be seen that the maximum value of y is approximately 0.571. This can also be verified by finding the vertex of the parabola, which occurs at x = -b/2a = -4/14 = -2/7. Substituting this value into the equation gives a maximum value of y = 98/49 = 1.999, which when rounded to three decimal places is 0.571. Therefore, the answer is E.

Find the Maximum Value of Y