Final answer:
The equation of the axis of symmetry for the quadratic equation y = -x² + 12x - 27 is x = 6.
Step-by-step explanation:
The equation of the axis of symmetry can be found using the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation y = ax² + bx + c.
In the given equation, y = -x² + 12x - 27, the coefficient of x² is -1 and the coefficient of x is 12. Plugging these values into the formula, we get x = -12/(2*(-1)) = 6.
Therefore, the equation of the axis of symmetry is x = 6.