select the correct answer from each drop - down menu. which transformation causes the described change in…

select the correct answer from each drop - down menu. which transformation causes the described change in the graph of the function y = cos x? the transformation cos(3x) results in a horizontal compression. the transformation - 5cos(x) results in a vertical stretch. the transformation cos(x/3) results in a horizontal stretch. the transformation results in a vertical compression. cos(x - 2) 2/3 cos(x) cos(4x) 2cos(x)

select the correct answer from each drop - down menu. which transformation causes the described change in the graph of the function y = cos x? the transformation cos(3x) results in a horizontal compression. the transformation - 5cos(x) results in a vertical stretch. the transformation cos(x/3) results in a horizontal stretch. the transformation results in a vertical compression. cos(x - 2) 2/3 cos(x) cos(4x) 2cos(x)

Answer

Explanation:

Step1: Recall vertical - compression rule

For a function $y = A\cos(x)$, if $0 < |A|<1$, it causes a vertical compression.

Step2: Analyze given options

Among the options, for the function $y=\frac{2}{3}\cos(x)$, since $A = \frac{2}{3}$ and $0<\frac{2}{3}<1$, it results in a vertical compression.

Answer:

The transformation $\frac{2}{3}\cos(x)$ results in a vertical compression.