SOLUTION: In skeet shooting, the clay pigeon is launched from a height of 4 feet and reaches a maximum height of 164 feet at a distance of 80 feet from the launch site. a) write an equat

Question 420990: In skeet shooting, the clay pigeon is launched from a height of 4 feet and reaches a maximum height of 164 feet at a distance of 80 feet from the launch site.
a) write an equation for the height of the clay pigeon in terms of the horizontal distance it has traveled?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
In skeet shooting, the clay pigeon is launched from a height of 4 feet and reaches a maximum height of 164 feet at a distance of 80 feet from the launch site.
a) write an equation for the height of the clay pigeon in terms of the horizontal distance it has traveled?
..
Standard form for a parabola:
y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.
From given data, h=80 and k=164.
The problem, then, is to find A.
y=A(x-80)^2+164
at x=0, y=4 (lauching height)
4=A(0-80)^2+164
-160=A(-80)^2=6400
A=-160/6400=-1/40
Equation:
y=-(1/40)(x-80)^2+164
See the graph of this equation below:
..

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