We are given the graph of a parabola.
(a) The parabola opens upward.
(b) Equation of the axis of the symmetry.
From the above graph, you can see that the graph is similar with respect to the point y = 1
Therefore, the equation of the axis of symmetry is y = 1
(c) Vertex
The vertex of a parabola that opens upward is always a minimum point on the parabola.
As you can see from the graph, the minimum point on the parabola is (1, -4)
Therefore, the vertex is (1, -4)
(d) Intercepts
The y-intercept is the point where the graph intercepts the y-axis.
From the graph, we can see that the y-intercept is (0, -3)
The x-intercept is the point where the graph intercepts the x-axis.
For the given case, there are two x-intercepts since the graph intercepts the x-axis at two points.
x = -1 and x = 3
Therefore, the x-intercepts are (-1, 0) and (3, 0)