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

A. (-6,8)
B. (-3,323)
C. (-3,-55)
D. (-6,206)

1 answer

To generate points to create the parabola for the quadratic equation y = -6x^2 + 3x + 8, we can substitute different values of x into the equation and solve for y.

Let's plug in x = -6:
y = -6(-6)^2 + 3(-6) + 8
y = -6(36) - 18 + 8
y = -216 - 18 + 8
y = -226 + 8
y = -218

So, when x = -6, y = -218.

Therefore, the point (-6, -218) is generated by the quadratic equation y = -6x^2 + 3x + 8.

None of the given options match this point, so none of the options are correct.