# Math

posted by
**Andy**
.

The path of a cliff diver as he dives into a lake is given by the equation

y= -(x-10)^2+75, where y meters is the divers height above the water and x meters is the horizontal distance travelled by the diver. What is the maximum hight the diver is above water?

Is the answer to this question 75 meters? This is how I worked it out, please verify if correct:

parabola opens down

axis of symetry is 10 (h=10)

therefore y=-1(10-10)^2 + 75 = 75

Please is this right?