To find the maximum height the diver reaches above the water, you need to determine the vertex of the parabolic equation. The vertex represents the highest point of the parabola, which in this case represents the maximum height of the diver above water.
The equation of the parabola is y = -(x - 10)^2 + 75. This equation is written in vertex form, which is y = a(x - h)^2 + k. In this form, (h, k) represents the coordinates of the vertex.
Comparing the given equation to the vertex form, we can determine that the parabola is translated horizontally by 10 units to the right (h = 10) and translated vertically by 75 units upwards (k = 75).
Therefore, the coordinates of the vertex (h, k) are (10, 75). The x-coordinate, 10, represents the horizontal distance travelled by the diver, and the y-coordinate, 75, represents the maximum height the diver reaches above the water.
Hence, the maximum height the diver is above the water is 75 meters.