Given: The function below
To Determine: The graph of the parabola and the vertex
Solution
Determine the vertex
The vertex form of a parabola is
Note:
The coordinate of the vertex is (0, 6)
Let us take two points on the left
Let us take two points on the right
Let us plot the 5 points as a graph as shown below
Hence, the vertex is (0, 6) and two points on the left of the vertex are (-1,5) and (-2, 2), and two points to the right of the vertex are (1, 5) and (2, 2)