Find the Amplitude of a Sine or Cosine Function - Pre-Calculus
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Which of the given functions has the greatest amplitude?
Which of the given functions has the greatest amplitude?
The amplitude of a function is the amount by which the graph of the function travels above and below its midline. When graphing a sine function, the value of the amplitude is equivalent to the value of the coefficient of the sine. Similarly, the coefficient associated with the x-value is related to the function's period. The largest coefficient associated with the sine in the provided functions is 2; therefore the correct answer is 
.
The amplitude is dictated by the coefficient of the trigonometric function. In this case, all of the other functions have a coefficient of one or one-half.
The amplitude of a function is the amount by which the graph of the function travels above and below its midline. When graphing a sine function, the value of the amplitude is equivalent to the value of the coefficient of the sine. Similarly, the coefficient associated with the x-value is related to the function's period. The largest coefficient associated with the sine in the provided functions is 2; therefore the correct answer is
The amplitude is dictated by the coefficient of the trigonometric function. In this case, all of the other functions have a coefficient of one or one-half.
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What is the amplitude of 
?
What is the amplitude of
For any equation in the form 
, the amplitude of the function is equal to 
.
In this case, 
and 
, so our amplitude is 
.
For any equation in the form
In this case,
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What is the amplitude of 
?
What is the amplitude of
The formula for the amplitude of a sine function is 
from the form:
.
In our function, 
.
Therefore, the amplitude for this function is 
.
The formula for the amplitude of a sine function is
In our function,
Therefore, the amplitude for this function is
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Find the amplitude of the following trig function: 
Find the amplitude of the following trig function:
Rewrite 
so that it is in the form of:
The absolute value of 
is the value of the amplitude.
Rewrite
The absolute value of
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Find the amplitude of the function.
Find the amplitude of the function.
For the sine function
where 
the amplitude is given as 
.
As such the amplitude for the given function
is
.
For the sine function
the amplitude is given as
As such the amplitude for the given function
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