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 to Solution
x to y
-1 to -1
-0.75 to 2.375
-0.5 to 5
-0.25
0 to 8
0.25 to 8.375
0.5
0.75
1 to 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.
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Answer 1

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

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