how to write a sine function with amplitude and period To write a sine function you simply need to use the following equation f x asin bx c d where a is the amplitude b is the period you can find the period by dividing the absolute value b by 2pi in your case I believe the frequency and period are the same c is the phase shift or the shift along the x axis and d is the vertical
Write a sine function with given amplitude period and phase shift MathAfterMath 2 65K subscribers 82 42K views 9 years ago Trigonometry a Given any function of the form y a sin b x or y a cos b x you know how to find the amplitude and period and how to use this information to graph the functions Given a graph of a sine or cosine function you also can determine the
how to write a sine function with amplitude and period
how to write a sine function with amplitude and period
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Example y 2 sin x The normal sine function is bound between 1 and 1 so the 2 coefficient multiplies those values by two giving us a function with an amplitude of 2 Identify the amplitude vertical shift period and frequency of the following function Then graph the function f x 2 sin left frac x 3 right 1 a 2 b frac 1 3 d 1 The amplitude is 2 the vertical shift is 1 and the frequency is frac 1 3 The period would be frac 2 pi frac 1 3 or 6 pi
Midline amplitude and period of a function Graphs of trig functions Trigonometry Khan Academy Practice this lesson yourself on KhanAcademy right now khanacademy math The general form for a sine equation is y Asin B C D The amplitude of a sine equation is the absolute value of A Since our equation begins with 2 we would simplify the equation y 3 sin 2 2 The absolute value of A would be 3 Report an Error Example Question 2 Period And Amplitude What is the amplitude of y sinx
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How do you write the equation of the sine function with an amplitude of 1 9 and a period of 3pi How do you write the equation of the cosine function with an amplitude of 2 and a period of 3pi 5 How do you write the equation of the cosine function with an amplitude of 1 2 a period of 2pi and a phase shift of 3pi 2 If this video I discuss how to graph any equation in the form y A sin Bx I describe how to use the value of A to find the amplitude and how the value o
Write the equation of a sine curve that has amplitude 15 and period 50 You need to specify both A and B in y A sin B theta Keep in mind that the period of this function is frac 360 circ B A periodic function that comes along the most is the sine function y sin t This is what it looks like on a graph These functions have 5 main attributes which are also called transformations 1 Amplitude The amplitude of a wave is the greatest displacement from the rest position The bigger the amplitude the taller the wave
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how to write a sine function with amplitude and period - Midline amplitude and period of a function Graphs of trig functions Trigonometry Khan Academy Practice this lesson yourself on KhanAcademy right now khanacademy math