Question

please help me find the answereither column 1 or column 2

Answer 1

Given

$y=\frac{3}{4}\cos[3(x+\frac{\pi}{6})]-5$

Find

Determine each statement is true or not.

Explanation

the function is in the form

$A\cos(Bx-C)+D$

where A = amplitude

Period =2pi/B

Phase shift = C/B

here ,

Amplitude = 3/4

Vertical shift = D units

$Period=\frac{2\pi}{B}=\frac{2\pi}{3}$

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