what is the amplitude of a graph in trig The amplitude of a trigonometric function is half the distance from the highest point of the curve to the bottom point of the curve text Amplitude frac text Maximum minimum 2 Amplitude 2 Maximum minimum For example if we consider the graph of y sin x y sin x
A graph of a trigonometric wave on an x y coordinate plane The x and y axes scale by one The midline is at y equals five The highest points on the graph go up to seven on the y axis and the lowest points on the graph go to three on the y axis A period spans an interval of four units on the x axis Midline amplitude and period of a function Graphs of trig functions Trigonometry Khan Academy Practice this lesson yourself on KhanAcademy right now
what is the amplitude of a graph in trig
what is the amplitude of a graph in trig
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How To Find The Amplitude Period And Frequency Of A Trigonometric
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How To Find The Amplitude Of A Trigonometric Function
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Problem Graph y 4 cos pi x on the interval 0 4 Answer The value of a is 4 so the graph has an amplitude of 4 This has the effect of taking the graph of y cos x and stretching it vertically by a factor of 4 The value of b is pi so the graph has a How do you find the amplitude period asymptotes from 0 2pi shifts and the min max of the following trig functions Y 5 cos x 4 What is the amplitude and period of y sin 3x How do you find period amplitude and midline of
The graph oscillates around its midline the horizontal line y 0 The distance between the midline and either the maximum or minimum value is called the amplitude of the function so the amplitude of the sine function is 1 You can use your calculator to graph the sine function by entering Correct answer 1 Explanation Amplitude describes the distance from the middle of a periodic function to its local maximum y sinx covers the range from 1 to 1 Thus it covers a distance of 2 vertically
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To graph the parent graph of a trigonometric function we first identify the critical points which includes the x intercepts the maximum mi more Learn the basics of graphing How to find the amplitude period vertical and horizontal shifts for a trig function and use that to graph the function Example Graph y 2 cos x 2 1 Try the free Mathway calculator and problem solver below to practice various math topics
The amplitude is one half the difference between the maximum and minimum values In the standard graphs the difference between the maximum and minimum is 1 1 2 one half of this is 1 so the amplitude of the standard sine and cosine functions is 1 S t 2 5tan 4t 3 4 The amplitude is given by the multipler on the trig function In this case there s a 2 5 multiplied directly onto the tangent This is the A from the formula and tells me that the amplitude is 2 5
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what is the amplitude of a graph in trig - The amplitude is 1 2 the distance from the lowest point to the highest point or the distance from the midline to either the highest or lowest point This is an important distinction when the trig function is shifted up or down