Question

Write the function g(x)=Asin(Bx)+C that results from the given transformation of f(x)=sin(x).

The function f(x) is stretched vertically by a factor of 3 and horizontally by a factor of 12 and is translated down 5 units to obtain the function g(x).

Question 1
What is the value of A, the amplitude of the function?

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Answer 1

The amplitude of a sine or cosine function is the vertical stretch or compression factor of the function. In this case, the function f(x) = sin(x) has been stretched vertically by a factor of 3. Therefore, the amplitude of the function g(x) is A = 3.

The function g(x) = 3sin(12x) + (-5)