Free algebra 2 worksheets created with infinite algebra 2. First identify the amplitude, the period, the phase shift, and the vertical shift. We see sine curves in many naturally occuring phenomena, like water waves. Whatever number a is multiplied on the trig function gives you the amplitude that is, the tallness or shortness of the graph. Similarly, the coefficient associated with the xvalue. Application problems october 21 to november 5th, 20 date topic assignment monday gr 1021 changes. Available for prealgebra, algebra 1, geometry, algebra 2, precalculus, and calculus. This function has an amplitude of 1 because the graph goes one unit up and one unit down from the midline of the graph. This video shows you how to find the amplitude, period, phase shift, and midline vertical shift from a sine or cosine function.
Up 1 graphing sine and cosine fill in the blanks and graph. Software for math teachers that creates exactly the worksheets you need in a matter of minutes. Determine the trig functions equation, given its graph. This type of problem could be used as an extension problem if you want to take this lesson farther.
Graphing trig functions amplitude, period, phase shift, vertical shift 2 author. Worksheet by kuta software llc honors algebra 2 graphing sine and cosine i. Free function amplitude calculator find amplitude of periodic functions stepbystep this website uses cookies to ensure you get the best experience. Worksheet by kuta software llc algebra 2 raad graphing sine name. Graph a sine or cosine function having a different amplitude and period. Amplitude and period for sine and cosine functions worksheet. F p mmga6dke 5 kwcittrh a dirn tfbijnhi 0t sez yacl 4g 1egbprpa4 62t. Trigonometry examples graphing trigonometric functions. Find the amplitude of a sine or cosine function precalculus. Find the amplitude, the period in radians, the phase shift in radians, the vertical shift, the minimum and maximum values, and two vertical asymptotes if any. Determining the amplitude and period of a sine graph video. Identifying amplitude, period, frequency, phase shift, or vertical displacement from an equation or graph video.
Using degrees, find the amplitude and period of each function. N p pm1a1dxeg awpiat vhk gixndf 9ionei tt8es ia jlhgve wbhrra i y2k. The amplitude has changed from 1 in the first graph to 3 in the second, just as the multiplier in front of the sine changed from 1 to 3. Worksheet by kuta software llc write the equation of the indicated functions graph shown in degrees. It explains how to identify the amplitude, period, phase shift, vertical shift, and midline of a sine or cosine function. The radios volume is set at 5, thus determining the sound amplitude. This assignment was created with kuta software, an amazing resource for secondary mathematics teachers. Lets start with the basic sine function, f t sin t. Worksheet by kuta software llc algebra 2 raad graphing sine and cosine name. Find the amplitude, period, yintercept, and midline of each function.
Write a rule in the form ft a sin bt of the sinusoidal curve representing the sound waves transmitted. Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift. Worksheet by kuta software llc algebra 2 graphing trig functions. From prior studies we know that the sine function has a period of when the coefficient b is 1.
When waves have more energy, they go up and down more vigorously. Find the amplitude, the period in radians, the phase shift in radians, the vertical shift, and the minimum and maximum values. Free algebra 1 worksheets created with infinite algebra 1. By using this website, you agree to our cookie policy. Worksheet by kuta software llc trigonometry notes 6. Precalculus examples trigonometry amplitude period and. For each of the following graphs, find 1 the amplitude 2 the period 3 the frequency 4 the phase shift 5 the equation 6 7.
O h kmmaedze 3 qw3i6tsh s fiwnfei3nei 0t leb vanlsghe hbxr3a i 82 n. Another way to say this is that a is the distance from the center line to the maximum or minimum on a sine curve. The amplitude of a function is the amount by which the graph of the function travels above and below its midline. Graphing trig functions amplitude, period, phase shift. Graphing trig functions kuta software infinite algebra 2 name. Solve a reallife problem involving a trigonometric function as a model. Then sketch the graph of the function over the interval 2. Q worksheet by kuta software llc algebra 2 l h2u0u153y ok yuutkaa xs vogfntbw mavr yez bl5lgcy. Like the sine function we can track the value of the cosine function through the 4 quadrants of the unit circle as we place it on a graph.
Infinite algebra 2 graphs of sine and cosine functions. Graphing trigonometric functions, phase shift, period. Graphing sine functionshomework using degrees, find the amplitude and period of each function. Both of these functions are defined for all real numbers, since we can evaluate the sine and cosine of any angle. Using radians, find the amplitude and period of each function. The period of the function can be calculated using. The final four problems ask the students to write one sine and one cosine equation given a graph math practice 8.
The coefficient b affects the period of a sine function. Graphing trig functions kuta software infinite algebra 2 name graphing trig functions date period using degrees find the amplitude and period of each. Graphing trig functions worksheet 1 amplitude and vertical. M worksheet by kuta software llc using radians, find the amplitude and period of each function. Graphing sine and cosine henry county school district. Infinite algebra 2 changes in period and amplitude of.
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