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ira [324]
3 years ago
10

A soccer ball is kicked into the air, and its path can be modeled with a quadratic function. The table shows the time, t, in sec

onds, and the height of the soccer ball, h, in feet. Follow the steps to write the function. 1. Identify x-intercepts: (0, 0) and (5, 0) 2. Use factored form: f(t) = a(t − 0)(t − 5) f(t) = at(t − 5) 3. Find the value of: 12 = a(3)(3 − 5) 4. Write function: f(t) = t(t −)
Mathematics
2 answers:
vfiekz [6]3 years ago
5 0

The answers -2 and 5

yaroslaw [1]3 years ago
3 0
The y-intercepts are
(0,0) and (5,0)
The equation of the quadratic function is
f(t) = at(t-5)
Solving for a
12 = a(3)(3-5)
a = -2
The equation of the quadractic function is
f(t) = -2t(t -5)
f(t) = -2t² + 10t<span />
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