SOLUTION: The path of a cliff diver as he dives into a lake,is given by the equation y=-[x-10]^2+75,where y metres is the divers height above the water and ,x meters is the horizontal distan

Algebra ->  Equations -> SOLUTION: The path of a cliff diver as he dives into a lake,is given by the equation y=-[x-10]^2+75,where y metres is the divers height above the water and ,x meters is the horizontal distan      Log On


   



Question 629586: The path of a cliff diver as he dives into a lake,is given by the equation y=-[x-10]^2+75,where y metres is the divers height above the water and ,x meters is the horizontal distance travelled by the diver.What is the maximum height the diver is above the water?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
y= -[x-10]^2+75 ||Parabola opening downward, V(10,75)maximum point
max height the diver is above the water = 75m
the vertex form of a Parabola opening up(a>0) or down(a<0), y=a%28x-h%29%5E2+%2Bk
where(h,k) is the vertex and x = h is the Line of Symmetry
The standard form is %28x+-h%29%5E2+=+4p%28y+-k%29, where the focus is (h,k + p)