What is the amplitude of the sinusoid's graph? y = -4 sin 3x
1 answer:
Answer:
Amplitude = 4
Step-by-step explanation:
The general form of a sine curve would be where A is the <u>"amplitude"</u>, or the "tallness" or "shortness" of the graph.
Technically, amplitude is the absolute value of the number that is multiplied in front of "Sin". So the amplitude is 4.
<u>Note:</u> The negative sign in front of 4 plays the role of "flipping" the curve upside down.
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The first row represents the input. The second row represents the value that the function f assumes for each input above. The third row represents the value that the function g assumes for each input above.
To compute f(1), we look for 1 in the first row (third column) and we look for the correspondent value for f. In this case, we have f(1)=4
Similarly, we look for 3 in the first row (last column) and we look for the value of g. In this case, we have g(3)=3.
Now we can plug the values in the formula: