The equation of the axis of symmetry for the quadratic function y = x² + 2 is x = 0.
The reason for this is that the graph of any quadratic function can be represented in the form of y = ax² + bx + c. The axis of symmetry can be found using the formula x = -b / (2a).
In our case, the function y = x² + 2 has the coefficients a = 1, b = 0, and c = 2. Plugging the values of a and b into the formula:
x = -0 / (2 * 1) = 0
This indicates that the axis of symmetry is a vertical line that passes through the point x = 0. Thus, we can conclude that the line x = 0 is the axis of symmetry for the parabola defined by the equation.