Final answer:
The axis of symmetry of the function f(x) = 22x² + 20.5 is the vertical line x = 0.
Step-by-step explanation:
The axis of symmetry of a quadratic function is a vertical line that divides the parabola into two equal halves. In the equation f(x) = 22x² + 20.5, the coefficient of x² is positive, indicating an upward-opening parabola. To find the axis of symmetry, we use the formula x = -b / (2a). Comparing the equation to the standard form ax² + bx + c, we have a = 22 and b = 0. Plugging these values into the formula, we get:
x = -0 / (2 * 22) = 0
Therefore, the axis of symmetry of the function f(x) = 22x² + 20.5 is the vertical line x = 0.