Question
The graph shows the height in feet of an object above the ground `t`seconds after it was launched from the ground.
Which function is best represented by the graph of this situation?
Which function is best represented by the graph of this situation?
Answers
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Answered by
GPT 3.5
The function that best represents the relation between time and height in this situation is a quadratic function. The graph shows a parabolic shape, which is characteristic of a quadratic function. The equation for a quadratic function is typically in the form of:
h(t) = at^2 + bt + c
where:
- h(t) is the height of the object at time t
- a, b, and c are constants
The graph will have a y-intercept at time t = 0, which represents the initial height from which the object was launched. The vertex of the parabola will represent the maximum height reached by the object.
h(t) = at^2 + bt + c
where:
- h(t) is the height of the object at time t
- a, b, and c are constants
The graph will have a y-intercept at time t = 0, which represents the initial height from which the object was launched. The vertex of the parabola will represent the maximum height reached by the object.
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