Is (0, -6) a solution to the equation y = -3x² + 6x + 6?

To determine if (0, -6) is a solution to the equation y = -3x² + 6x + 6, we need to substitute x = 0 into the equation and see if we get y = -6.

1. Substitute x = 0:

y = -3(0)² + 6(0) + 6

y = 0 + 0 + 6

y = 6

2. Now we compare the calculated value of y with -6. Since 6 is not equal to -6, (0, -6) is not a solution to the equation.

Answer: no