Final answer:
The equation of the axis of symmetry is x = 0.
Step-by-step explanation:
The equation represents a quadratic function in the form y = ax^2 + bx + c. To find the axis of symmetry, we can use the formula x = -b/2a.
Given the equation y = -2x^2 + 16, we can see that a = -2 and b = 0. Plugging these values into the formula, we get x = -0/2(-2), which simplifies to x = 0.
Therefore, the equation of the axis of symmetry is x = 0.