A rock is thrown upward from a bridge that is 96 feet above a road. The rock reaches its maximum height above the road 0.63 seconds after it is thrown and contacts the road 3.14 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 t₁)(t — t₂) for fixed numbers c, t₁, and t2.
A rock is thrown upward from a bridge that is 96 feet above a road. The rock reaches its maximum height above the road 0.63 seconds after it is thrown and contacts the road 3.14 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 t₁)(t — t₂) for fixed numbers c, t₁, and t2.
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 97SE: The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is...
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Transcribed Image Text:A rock is thrown upward from a bridge that is 96 feet above a road. The rock reaches its maximum height above the road 0.63 seconds after it is
thrown and contacts the road 3.14 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 — t₁)(t — t2) for fixed numbers c, t₁, and t2.
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