The table is completed below
x y = 9 - x² (x, y)
-3 y = 9 - (-3)² = 0 (-3, 0)
-2 y = 9 - (-2)² = 5 (-2, 5)
-1 y = 9 - (-1)² = 8 (-1, 8)
0 y = 9 - (0)² = 9 (0, 9)
1 y = 9 - (1)² = 8 (1, 8)
2 y = 9 - (2)² = 5 (2, 5)
3 y = 9 - (3)² = 0 (3, 0)
The maximum height above the ground is 9
How to complete the table
The table is completed by substitution of the values
According to the problem we have the equation: y = 9 - x²
We complete the table as follows
For x = -3, y = 9 - (-3)² = 0
For x = -2, y = 9 - (-2)² = 5
For x = -1, y = 9 - (-1)² = 8
For x = 0, y = 9 - (0)² = 9
For x = 1, y = 9 - (1)² = 8
For x = 2, y = 9 - (2)² = 5
For x = 3, y = 9 - (3)² = 0
The maximum height above the ground, from the graph is 9