Final answer:
The axis of symmetry is a vertical line that passes through the vertex of a parabola in a quadratic function.
Step-by-step explanation:
The axis of symmetry and vertex are related in a quadratic function. A quadratic function is a second-degree polynomial function of the form y = ax^2 + bx + c. The axis of symmetry is a vertical line that passes through the vertex of the parabola. The x-coordinate of the vertex is the same as the x-coordinate of the axis of symmetry.
For example, in the quadratic function y = 2x^2 - 4x + 3, the axis of symmetry is x = -b/2a, where a = 2 and b = -4. Plugging in the values, we get x = -(-4)/(2*2) = 1. The vertex is the point (1, f(1)), where f(1) is the value of the function when x = 1.