1. **State the problem:** We are given a parabola with certain points and need to find its x-intercepts, y-intercept, vertex, and axis of symmetry. 2. **Identify the x-intercepts:** The x-intercepts are the points where the parabola crosses the x-axis. From the graph, these are given as (1,0) and (3,0). 3. **Identify the y-intercept:** The y-intercept is where the parabola crosses the y-axis. From the graph, this is (0,2). 4. **Identify the vertex:** The vertex is the lowest point on the parabola since it opens upwards. From the graph, the vertex is at (2,-2). 5. **Identify the axis of symmetry:** The axis of symmetry is a vertical line passing through the vertex. It is given by the equation $x=2$. **Final answers:** - X-Intercepts: (1,0) and (3,0) - Y-Intercept: (0,2) - Vertex: (2,-2) - Axis of Symmetry: $x=2$