3. Consider the function f(x) = sin [3(x-30°)] +4. a) Determine the amplitude, the period, the horizontal phase shift, and the vertical displacement of the function with respect to y = sin.x. ' b) What are the minimum and maximum values of the function? (? c) Determine the x-intercepts of the function in the interval 0° ≤ x ≤ 360°. d) Determine the y-intercept of the function.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 78RE
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ID: A
3. Consider the function f(x) =
sin [3(x-30°)] +4.
a) Determine the amplitude, the period, the horizontal phase shift, and the vertical displacement of the
function with respect to y = sinx."
b) What are the minimum and maximum values of the function? (?
c) Determine the x-intercepts of the function in the interval 0° ≤ x ≤ 360°.
d) Determine the y-intercept of the function.
Transcribed Image Text:ID: A 3. Consider the function f(x) = sin [3(x-30°)] +4. a) Determine the amplitude, the period, the horizontal phase shift, and the vertical displacement of the function with respect to y = sinx." b) What are the minimum and maximum values of the function? (? c) Determine the x-intercepts of the function in the interval 0° ≤ x ≤ 360°. d) Determine the y-intercept of the function.
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