Amplitude and period of function
[DOC File]LESSON X
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The function does not have an amplitude and the period of the function is . In general, given the function , we may write this function as by factoring out b. The tangent function does not have an amplitude, the period is , and the phase shift is units to the right if or is units to the left if .
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Find the amplitude, period, and frequency of the function and use this information (not your calculator) to sketch a graph of the function over two periods. (no calc) 1. y = 2 cos 2. y = 20 sin 4x. Describe the graph of the function in terms of a basic trig function. Locate the vertical asymptotes and graph two periods of the function. (no calc) 3.
[DOC File]6 - Weebly
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A sinusoidal function has an amplitude of 6 units, a period of 45˚, and a minimum at (0,1). Represent the function with two different equations. Step 1: Make a sketch. Since the trough is 1 and the amplitude is 6, the middle must be at 7 (1+6 =7) and the peak must be at 13( middle + 6 = 7+ 6 = 13) . Step 2:
[DOC File]Amplitude and Period for Sine and Cosine Functions Worksheet
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Pre-Calculus. Mixed Review: Equations & Graphing of Trig Functions. Determine the amplitude, period, and vertical shift of each function. 1. y = sin 4x 2. y = cos 5x - 4 3. y = 2 sin x - 3 4. y = –4 sin 3x + 2
[DOC File]Precalc Review
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Find the amplitude, period and phase shift of each function. Graph each function on a separate piece of paper. Each graph should have the axes labeled and contain at least two period lengths. y = 4sin(3x) Amplitude = Period = Phase Shift = y = 2cos(1/3 x) Amplitude = Period = Phase Shift = y = 2sin(2x – π) Amplitude = Period =
[DOC File]Period and Amplitude - Iona Prep
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Period and Amplitude. Period – the length of one cycle of a graph. A function whose graph repeats a basic pattern is called a . periodic . function. To find the period of a function, start from any point on the graph (usually the origin) and proceed to the right until the pattern begins to repeat. Go to pg 743: 29 – 32.
[DOC File]Amplitude and Period for Sine and Cosine Functions Worksheet
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Period _____ Period _____ Period _____ Give the amplitude and period of each function graphed below. Then write an equation of each graph using both sine and cosine.
[DOC File]Graphing Sine and Cosine – Worksheet #1
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Amplitude: 3 Period: Amplitude: 2 Period: Phase shift: N/A Vertical shift: Down 2 Phase shift: N/A Vertical shift: Up 1 Graphing Sine and Cosine Fill in the blanks and graph. 9) 10) Domain: Range: Domain: Range: Amplitude: 2 Period: Amplitude: 1 Period: π
[DOCX File]CT.GOV-Connecticut's Official State Website
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They must identify the amplitude, period and midline of the trigonometric function. Exit Slip 6.4.3. gives students a graph of a sine, cosine or tangent function and students need to identify the amplitude, period and midline of the trigonometric function. They also need write an equation for the graph.
[DOC File]Amplitude and Period for Sine and Cosine Functions Worksheet
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Determine the amplitude and period of each function. (Write Period in Radians) 1. y = sin 4x 2. y = cos 5x 3. y = 2 sin x. 4. y = –4 sin 3x 5. y = 2 sin (πx) 6. y = 3 sin x. Give the amplitude and period of each function graphed below. Then write an equation of each graph. 7. 8. 9. 10.
[DOC File]Lesson: Dividing Monomials
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the amplitude, period and frequency of a sinusoidal function. … discover. how modifying the amplitude/period affects the graph of sine and cosine. … correlate. their understanding of general transformations from Algebra II to the specific transformations of amplitude and period. … apply
[DOC File]F.IF.C.7.GraphingTrigonometricFunctions.doc
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1) amplitude 2) horizontal shift 3) period 4) midline 7 A sine function is graphed below. Determine and state the amplitude and period of this function. 8 The volume of air in a person’s lungs, as the person breathes in and out, can be modeled by a sine graph.
[DOC File]What Is A Function
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Describe the key characteristics of the graphs of the following functions by listing the period, phase shift, amplitude, and the form of all zeros. Function Key Characteristics Sketch the following functions, and describe how each one is related to the basic sine or cosine graph:
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