The height of an object when projected upward can be described by the equation h=270t−4.9t2, where h is height and t is time. the relationship between the height of the object and the elapsed time is -

For this case we have the following equation:
 h = 270t-4.9t2
 We observed that:
 1) The equation is quadratic
 2) The quadratic term of the equation is negative, therefore, the parabola opens downwards.
 3) The object is launched with initial height equal to zero.
 
 The relationship between the height of the object and the elapsed time is quadratic.

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