A rock is thrown upward from a bridge that is 47 feet above a road. The rock reaches its maximum height above the road 0.58 seconds after it is thrown and contacts the road 2.77 seconds after it was thrown. Write a function f that determines the rock's height above the road (in feet) in terms of the number of seconds t since the rock was thrown. f(t) Preview syntax error Helpful Hints: (1). Draw a picture of f by hand. Recall that the axis of symmetry goes through the vertex. The zeros of f are both the same distance from the axis of symmetry. You can use this to find the second zero of f. (2). The function f can be written in factored form f(t) = c · (t – tı)(t – t2) for fixed numbers c, t1, and t2. Submit

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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A rock is thrown upward from a bridge that is 47 feet above a road. The rock reaches its maximum height above the road 0.58 seconds after it is
thrown and contacts the road 2.77 seconds after it was thrown.
Write a function f that determines the rock's height above the road (in feet) in terms of the number of seconds t since the rock was thrown.
f(t)
Preview
syntax error
Helpful Hints:
(1). Draw a picture of f by hand. Recall that the axis of symmetry goes through the vertex. The zeros of f are both the same distance from the
axis of symmetry. You can use this to find the second zero of f.
(2). The function f can be written in factored form f(t) = c · (t – tı)(t – t2) for fixed numbers c, t1, and t2.
Submit
Transcribed Image Text:A rock is thrown upward from a bridge that is 47 feet above a road. The rock reaches its maximum height above the road 0.58 seconds after it is thrown and contacts the road 2.77 seconds after it was thrown. Write a function f that determines the rock's height above the road (in feet) in terms of the number of seconds t since the rock was thrown. f(t) Preview syntax error Helpful Hints: (1). Draw a picture of f by hand. Recall that the axis of symmetry goes through the vertex. The zeros of f are both the same distance from the axis of symmetry. You can use this to find the second zero of f. (2). The function f can be written in factored form f(t) = c · (t – tı)(t – t2) for fixed numbers c, t1, and t2. Submit
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