Question

Given the table of values, complete the table for the quadratic equation y=−6x2+3x+8
to find the values of the high or low point of the parabola.

This table shows the corresponding values of x and y, with some missing values for y.
Steps Solution
x y
−1
−1

−0.75
2.375
−0.5
5
−0.25

0 8
0.25 8.375
0.5
0.75
1 5
Which of the following is correct?

(1 point)

(0.25,8.375)
is the high point on the parabola.

(0.5,9)
is the high point on the parabola.

(−1,−1)
is the low point on the parabola.

(0.25,8.375)
is the low point on the parabola.
Skip to navigation

Answer 1

Compute y = -6x^2 + 3x + 8 for each x:

x y
-1 -1
-0.75 2.375
-0.5 5
-0.25 6.875
0 8
0.25 8.375
0.5 8
0.75 6.875
1 5

Since a = -6 < 0 the parabola opens downward. Vertex x = -b/(2a) = -3/(2·-6) = 0.25, and y(0.25) = 8.375. So (0.25, 8.375) is the high point.

Correct choice: (0.25, 8.375) is the high point on the parabola.