Question

Given the table of values, complete the table for the quadratic equation y = -6x^2 + 3x + 8 to find the values of the high or low point of the parabola.
The table:
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?
A. (0.25, 8.375) is the low point on the parabola.
B. (-1, -1) is the low point on the parabola.
C. (0.5, 9) is the high point on the parabola.
D. (0.25, 8.375) is the high point on the parabola.

Answer 1

To find the high or low point of the parabola, we need to find the vertex. The x-coordinate of the vertex can be found using the formula x = -b/2a. In this case, a = -6 and b = 3, so x = -3/(2*(-6)) = 0.25.

To find the y-coordinate of the vertex, we substitute the x-coordinate into the equation. Plugging in x = 0.25, we get y = -6(0.25)^2 + 3(0.25) + 8 = 8.375.

Therefore, the high or low point of the parabola is (0.25, 8.375).

The correct answer is:
D. (0.25, 8.375) is the high point on the parabola.