Answer:
[tex]Vertex=(0.5,9)[/tex]
[tex]Axis-of-symmetry=0.5[/tex]
Skills needed: Quadratic Graphing
Step-by-step explanation:
1) We need to first understand what the vertex is. In a parabola, the vertex is either the highest or lowest point. If the parabola is like a mountain (with the peak at the top), then it is the highest point. If the parabola is like a valley (with a divot like point at the lowest part), then the vertex is the lowest point.
---> On the graph in the picture, it is like a mountain.
- This mean it is the highest point for this graph.
The highest point would be (0.5, 9), as to the left of that point it goes down, and also to the right of the point it starts going down.
(0.5, 9) is the vertex.
2) The axis-of-symmetry is always the x-axis value of the vertex when given a parabola. This is basically the x-axis value for which the equation can be folded over with symmetry.
---> Axis of symmetry here is 0.5
