what is the amplitude of y=6 sin 1/8x

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in y = a sin kx

the amplitude is a
and the value of k affects the frequency

so in your equation, the amplitude would be ..... ?

To find the amplitude of the given function y = 6 sin(1/8x), we can use the general form of a sinusoidal function, which is y = A sin(Bx + C) + D. In this form, the amplitude (A) represents the maximum vertical distance between the curve and the x-axis or the midline.

In the given function, the coefficient of sin is 6, which means A = 6. Therefore, the amplitude of the function y = 6 sin(1/8x) is 6.

To find the amplitude of a sinusoidal function, you need to examine the coefficient of the sine or cosine term (e.g., A in the general form).