determine the amplitude of the function y = - 6 sin x. graph the function and y = sin x.\nthe amplitude is…

determine the amplitude of the function y = - 6 sin x. graph the function and y = sin x.\nthe amplitude is .\n(simplify your answer.)\nuse the graphing tool to graph y = - 6 sin x and y = sin x.\nclick to enlarge graph\n(for any answer boxes shown with the grapher, type an exact answer. type the word pi to insert the symbol π as needed.)

determine the amplitude of the function y = - 6 sin x. graph the function and y = sin x.\nthe amplitude is .\n(simplify your answer.)\nuse the graphing tool to graph y = - 6 sin x and y = sin x.\nclick to enlarge graph\n(for any answer boxes shown with the grapher, type an exact answer. type the word pi to insert the symbol π as needed.)

Answer

Explanation:

Step1: Recall amplitude formula

For a sine - function of the form $y = A\sin x$, the amplitude is given by $|A|$.

Step2: Identify the value of A

In the function $y=-6\sin x$, $A = - 6$.

Step3: Calculate the amplitude

The amplitude is $| - 6|=6$.

Answer:

6