We are given a parabola and asked several questions about it.
First, note that as x changes, the values of the height of the parabola keep going up and up. This means that the parabola opens upward.
Now, we want to find the values of the x and y intercepts. This can be seen from the graph as the points where the graph crosses each of the axis. As the graph doesn't touch the x axis, this means that there are None x intercepts. On the contrary, we can see that the graph crosses the y axis at one point, which is y=6. So the y intercept is y=6.
From the graph we can determine also the vertex. As the parabola opens upwards, the vertex is the lowest point of the graph. We can see that that point is the point (-4,2).
Finally, we want to find the axis of symmetry. The axis of symmetry is the line that passes through the vertex. It depends on how the parabola opens. If it opens upwards/downwards, the axis of symmetry is a vertical line. As this our case, we can see that the axis of symmetry is the vertical line that passes through the vertex. That is, through the point (-4,2). This line would be the line x= -4