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4. Let f (t)=acosb(t−c)+d, t≥0. Part of the graph of y=f(t) is given below. It is known that when t=3, y=f (t) has a maximum value = 29 at M when t=9, y=f(t) has a minimum value = 15 at N. (a) Show that b=0 (b) Find the values of a, c and d. 30 M 27 24 21 18 15 N 12 9 6 3 0 1 2 3 45 67 8 9 10 (c) Give a full geometric description of the transformations to obtain y=f (t) from the parent function y=cost

4. Let f (t)=acosb(t−c)+d, t≥0. Part of the graph of y=f(t) is given below. It is known that when t=3, y=f (t) has a maximum value = 29 at M when t=9, y=f(t) has a minimum value = 15 at N. (a) Show that b=0 (b) Find the values of a, c and d. 30 M 27 24 21 18 15 N 12 9 6 3 0 1 2 3 45 67 8 9 10 (c) Give a full geometric description of the transformations to obtain y=f (t) from the parent function y=cost

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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4. Let f (t)=acosb(t−c)+d, t≥0. Part of the graph of y=f(t) is given below. It is known that when t=3, y=f (t) has a maximum value = 29 at M when t=9, y=f(t) has a minimum value = 15 at N. (a) Show that b=0 (b) Find the values of a, c and d. 30 M 27 24 21 18 15 N 12 9 6 3 0 1 2 3 45 67 8 9 10 (c) Give a full geometric description of the transformations to obtain y=f (t) from the parent function y=cost
Transcribed Image Text:4. Let f (t)=acosb(t−c)+d, t≥0. Part of the graph of y=f(t) is given below. It is known that when t=3, y=f (t) has a maximum value = 29 at M when t=9, y=f(t) has a minimum value = 15 at N. (a) Show that b=0 (b) Find the values of a, c and d. 30 M 27 24 21 18 15 N 12 9 6 3 0 1 2 3 45 67 8 9 10 (c) Give a full geometric description of the transformations to obtain y=f (t) from the parent function y=cost
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