Final answer:
To find the axis of symmetry and vertex for a parabola, use the vertex form of the equation y = a(x-h)² + k. The x-coordinate of the vertex is the value of h, and the y-coordinate is the value of k.
Step-by-step explanation:
To find the axis of symmetry and vertex for a parabola, you can use the vertex form of the equation: y = a(x-h)² + k. The axis of symmetry is the vertical line that passes through the vertex. The x-coordinate of the vertex is the value of h, and the y-coordinate is the value of k.
For example, if the equation is y = 2(x-3)² + 1, the axis of symmetry is x = 3 and the vertex is (3, 1).