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 low point on the parabola.

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

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

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

Answer 1

Answer: (0.25, 8.375) is the high point.

Reason: a = −6 < 0 so the parabola opens downward (has a maximum). Vertex x = −b/(2a) = −3/(2·−6) = 0.25. Then y = −6(0.25)^2 + 3(0.25) + 8 = 8.375, so the vertex (maximum) is (0.25, 8.375).