Given
[tex]y=\frac{3}{4}\cos[3(x+\frac{\pi}{6})]-5[/tex]
Find
Determine each statement is true or not.
Explanation
the function is in the form
[tex]A\cos(Bx-C)+D[/tex]
where A = amplitude
Period =2pi/B
Phase shift = C/B
here ,
Amplitude = 3/4
Vertical shift = D units
[tex]Period=\frac{2\pi}{B}=\frac{2\pi}{3}[/tex]
we have given period = 3
so , it is not true
phase shift = pi/6
Vertical shift down 5 units
Final Answer
Therefore , A , C and D are true . only B statement is not true. so , column 2 is correct
