The given graph is observed that,

Find the vertex:

Because the parabola opens downward, the vertex is located at the maximum point of the parabola.it is located at (1,5).

Find axis of symmetry: 

The axis of symmetry is the line that goes through the vertex and divides the parabola into congruent halves. It is located at x = 1.

Find y-intercept:

The y-intercept is the point where the graph intersects the y-axis. It is located at (0,1), so the y-intercept is 4.

The graph of the vertex is (1,5), the axis of symmetry is  x = 1 and y-intercept is 4.