A rock is thrown upward from a bridge that is 51 feet above a road. The rock reaches its maximum height above the road 0.67 seconds after it is thrown and contacts the road 3.08 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 Hint: the function f can be written in the form f(t) = c· (t – t1)(t – t2) for fixed numbers c, t1, and t2.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 25PPS
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Question
A rock is thrown upward from a bridge that is 51 feet
above a road. The rock reaches its maximum height
above the road 0.67 seconds after it is thrown and
contacts the road 3.08 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
Hint: the function f can be written in the form
f(t) = c· (t – t1)(t – t2) for fixed numbers c, t1, and
t2.
Transcribed Image Text:A rock is thrown upward from a bridge that is 51 feet above a road. The rock reaches its maximum height above the road 0.67 seconds after it is thrown and contacts the road 3.08 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 Hint: the function f can be written in the form f(t) = c· (t – t1)(t – t2) for fixed numbers c, t1, and t2.
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