Given:
Given that the graph of the parabola.
We need to determine the vertex, the axis of symmetry and the y - intercept of the graph.
Vertex:
The vertex of the parabola is the point at which the parabola changes its direction.
From the graph, it is obvious that the parabola changes its direction at the point (-2,0)
Hence, the vertex of the graph is (-2,0)
Axis of symmetry:
The axis of symmetry is the line that divides the parabola exactly into two equal halves.
Hence, from the graph, it is obvious the line x = -2 divides the graph exactly into two equal halves.
Hence, the axis of symmetry is x = -2.
y - intercept:
The y - intercept of the parabola is the value of y when x = 0.
In other words, the y - intercept of the graph is the value of y when the line passes through the y - axis.
Thus, from the graph it is obvious that when x = 0, the value of y is -3.
Hence, the y - intercept of the graph is -3.