Given:
The function of graph is:
[tex]y=-2+3\cos(\frac{1}{2}x-\frac{\pi}{3})[/tex]Find-: Amplitude, Period, Vertical shift, horizontal shift
Sol:
Graph of function is:
Amplitude is 3
The period of the graph is:
[tex]\begin{gathered} =\frac{14\pi}{3}-\frac{2\pi}{3} \\ \\ =\frac{12\pi}{3} \\ \\ =4\pi \end{gathered}[/tex]The vertical shift is -2.
For horizontal translation is:
[tex]=\frac{2\pi}{3}[/tex]
