The graph represents the quadratic function. So vetex represne the maximum/minimum value of function.
So vertex of the function is (5.5,-6).
The parabola is vertical and axis of symmetry always passes through th vertex. So equation for the axis of symmetry is x = 5.5.
The point (9,5) lies at a perpendicular distance of 3.5 unit right side of axis of symmetry. So symmetric point lies 3.5 unit to the left of axis of symmetry.
[tex]\begin{gathered} (x,y)=(5.5-3.5,5) \\ =(2,5) \end{gathered}[/tex]
Answer:
Vertex (5.5,-6)
Axis of symmetry: x = 5.5
Symmetric point:
