The data given for a football kicked from the field follows a quadratic model, h (x) = - 3x2 + 18x + 7. where h (t) is the height in feet and t is the in seconds. using this model, at what time will the ball reach its maximum height

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Mathematics

Adalynn

16 January, 11:58

The data given for a football kicked from the field follows a quadratic model, h (x) = - 3x2 + 18x + 7. where h (t) is the height in feet and t is the in seconds. using this model, at what time will the ball reach its maximum height

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Natalee Bernard · Answer 1

Since we want to find the maximum value and - 3 (a) is negative in ax^2+bx+c, we have to find the vertex. The x value for the vertex is - b/2a, which is - 18/-6=3. Since x represents time, it's 3 seconds.