Which of the following is a point you can generate to create the parabola for the quadratic equation y=−6x2+3x+8?(1 point)

To determine which point lies on the parabola represented by the quadratic equation \( y = -6x^2 + 3x + 8 \), we can substitute the x-coordinates from the provided options into the equation and see if the corresponding y-value matches.

Let's evaluate each point:

1. **For (-3, 323)**:
\[
y = -6(-3)^2 + 3(-3) + 8 = -6(9) - 9 + 8 = -54 - 9 + 8 = -55
\]
This does not match 323.

2. **For (-3, -55)**:
\[
y = -6(-3)^2 + 3(-3) + 8 = -6(9) - 9 + 8 = -54 - 9 + 8 = -55
\]
This matches, so (-3, -55) is indeed a point on the parabola.

3. **For (-6, 8)**:
\[
y = -6(-6)^2 + 3(-6) + 8 = -6(36) - 18 + 8 = -216 - 18 + 8 = -226
\]
This does not match 8.

4. **For (-6, 206)**:
\[
y = -6(-6)^2 + 3(-6) + 8 = -6(36) - 18 + 8 = -216 - 18 + 8 = -226
\]
This does not match 206.

The point that lies on the parabola defined by the equation \( y = -6x^2 + 3x + 8 \) is:
**(-3, -55)**.