the vertex of the function is the coordinate of the top-most point of the graph,
so vertex is
A) vertex = (0.5, 9)
B) this graph is symmetric about x = 0.5
C) the y-intercept of the graph is the y coordinate of the point where the graph of the function is intersecting y-axis.
so y-intercept = 5
D) also
x-intercept is = 1.25
E) and the interval where the graph is increasing is,
[0 , 0.5]