Amplitude Math Example 1

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easy

Find the amplitude of

f(x) = 5\sin(x)

1
The general form of a sine function is $f(x) = A\sin(Bx + C) + D$ , where $|A|$ is the amplitude.
2
Here $A = 5$ , so the amplitude is $|5| = 5$ .
3
This means the graph oscillates between $y = -5$ and $y = 5$ .

Answer

\text{Amplitude} = 5

Amplitude is the distance from the midline to the maximum (or minimum) of a periodic function. For

y = A\sin(x)

y = A\cos(x)

, the amplitude is

|A|

. It measures how far the wave deviates from its center position.

About Amplitude

Amplitude is the maximum vertical distance from the midline of a periodic function to a peak or trough.

Find the amplitude and midline of [formula].

A sinusoidal function has a maximum value of [formula] and a minimum value of [formula]. Find the am

Write the equation of a cosine function with amplitude [formula], period [formula], midline [formula