SOLUTION: Mitzi shoots an arrow from an initial height of 2 meters, the arrow reaches its maximum height of 20 meters after it has flown a distance of 60 meters.
Write a quadratic functio
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-> SOLUTION: Mitzi shoots an arrow from an initial height of 2 meters, the arrow reaches its maximum height of 20 meters after it has flown a distance of 60 meters.
Write a quadratic functio
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Question 1166096: Mitzi shoots an arrow from an initial height of 2 meters, the arrow reaches its maximum height of 20 meters after it has flown a distance of 60 meters.
Write a quadratic function to represent the height of the arrow as a function of its distance. Use fraction, no decimals. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! ax^2+bx+c=f(x)
ordered pair 1 is (0, 2)
so c=2
for 2 it is (60, 20)
so 3600x+60b+2=20
the value of x=-b/2a at the vertex so that is 60=-b/2a
-120a=b
therefore -30b+60b+2=20
30b=18
b=3/5
a=-1/200
and (-1/200)x^2+(3/5)x+2=f(distance) ANSWER
(0, 2) works
(60, 20) works
and vertex x value is -b/2a or -3/5/-1/100 or 60 for x, which works
