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Pre-Calculus Practice Problem 172

Pre-Calculus Practice Problem 172 - Part II 1 The graph of...

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Unit 5, Activity 6, The Family of Functions - Sine and Cosine Parts I and II with Answers Blackline Masters, Advanced Math-Pre-Calculus Page Comprehensive Curriculum, Revised 2008 170 Part I. Students should recall the function of the values A, B, C, and D from using them in Algebra II and Units 1, 2, and 3 in this course. Mathematically y = Af(x) causes a dilation, a vertical stretch or shrink in the graph of y = f(x). B also causes a dilation. y =f(Bx) stretches or shrinks the graph of y = f(x) horizontally. The graph of y = f(x) is translated C units left if C < 0 and C units right if C > 0.
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Unformatted text preview: Part II 1. The graph of a function of the form f x A Bx ( ) cos = is shown below. Find the values of A and B . A = 30, B = 4 2. Write an equation and sketch the graph of a sine function with amplitude ½, period 3 π , phase shift π 4 units to the right . equation is f(x) = 1 2 2 3 4 sin θ − F H G I K J 3. The fundamental period of a cosine function is 2 . Its maximum value is 5 and its minimum value is 3. Sketch a graph of the function and write a rule for your graph. f(x) = cos(4x) + 4...
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