Question

which of the following is a point you can generate to create the parabola for the quadratic equation y = -6x^2 + 3x + 8

Answer 1

[AI-generated answer — Bot GPT 3.5]

To generate points for the parabola given by the quadratic equation y = -6x^2 + 3x + 8, you can choose any arbitrary values for x and substitute them into the equation to find the corresponding y-values. Let's generate a few points:

1. x = 0:
Substitute x = 0 into the equation: y = -6(0)^2 + 3(0) + 8
Simplify: y = 0 + 0 + 8 = 8
Therefore, the point is (0, 8).

2. x = 1:
Substitute x = 1 into the equation: y = -6(1)^2 + 3(1) + 8
Simplify: y = -6 + 3 + 8 = 5
Therefore, the point is (1, 5).

3. x = -1:
Substitute x = -1 into the equation: y = -6(-1)^2 + 3(-1) + 8
Simplify: y = -6 - 3 + 8 = -1
Therefore, the point is (-1, -1).

You can continue this process to generate more points if needed.