The initial height, in feet, of the object
The maximum height, in feet, of the object
The initial speed, in feet per second, of the object
The maximum speed, in feet per second, of the object
Explanation
Correct answer: A.
Choice A is correct. The variable represents the seconds after the object is launched. Since , this means that the height, in feet, at seconds, or the initial height, is feet.
Desmos solution:
Note: Since h(0)=72, the object is 72 feet above the ground at launch, so 72 is its initial height.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect and may be the result of misinterpreting the function in context. The value represents the constant term in the quadratic function, which gives the initial height when , not the maximum height.
Choice C
Choice C is incorrect and may be the result of misinterpreting the function in context. The initial speed is represented by the coefficient in the linear term, not the constant term .
Choice D
Choice D is incorrect and may be the result of misinterpreting the function in context. The value represents the initial height, not any speed measurement.