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fr33pl4gu3
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if f(x) = - sin(x/5 - p) are given, then the amplitude must be -1, correct??
fr33pl4gu3 said:if f(x) = - sin(x/5 - p) are given, then the amplitude must be -1, correct??
The amplitude of a function represents the maximum distance between the function's graph and the x-axis. In other words, it is the highest point of the function's graph.
In the case of a trigonometric function, such as -sin(x/5 - p), the amplitude can be calculated by taking the absolute value of the coefficient of the trigonometric term. In this case, the amplitude would be |-1| = 1.
The negative sign in front of the sin function indicates that the graph of the function will be reflected over the x-axis. This means that the highest point of the graph will become the lowest point, and vice versa.
The amplitude of a function determines the vertical stretch or compression of the graph. In the case of -sin(x/5 - p), the amplitude of 1 means that the graph will have a maximum height of 1 unit above and below the x-axis.
Yes, the amplitude of a function can be greater than 1. This would result in a graph that is more stretched out vertically. For example, if the amplitude of -sin(x/5 - p) was 2, the graph would have a maximum height of 2 units above and below the x-axis.