Determine the phase shift for each of the following functions, then interpret wh
ID: 3426868 • Letter: D
Question
Determine the phase shift for each of the following functions, then interpret what the phase shift tells you about that function. (Enter your answers in exact form.)
(a)
f() = 7 cos(); is in degrees.
The given function has a horizontal translation equal to [ ---Select--- 0, 1/28, 1/21, 1/14, 1/7] times the period.
(b)
f() = cos(6); is in radians.
The given function has a horizontal translation equal to ---Select---[ 0 ;1/24 ;1/18 ;1/12 ;1/6 ] times the period.
(c) f() = sin(1/7)
is in degrees.; is in degrees.
The given function has a horizontal translation equal to ---Select--- [0; 1/14; 1/7; 7 ;14 ] times the period.
(d) f() = cos( 150°);
°
The given function has a horizontal translation equal to ---Select--- [0 ;1/150 ;5/12 ;12/5 ;150 ] times the period.
(e) f() = 4 sin(+/3)
; is in radians.
The given function has a horizontal translation equal to ---Select--- [0; 1/6; 1/3; 3; 6 ] times the period.
(f) f() = 0.75 cos[1/3( + 90°)]
; is in degrees.
°
The given function has a horizontal translation equal to ---Select--- [0 ;1/90 ;1/12 ;1/4 ;90 ] times the period.
(g) f() = sin[7(-/6)]
; is in radians.
The given function has a horizontal translation equal to ---Select--- [0 ;1/6 ;7/12; 3 ;6 ] times the period.
Explanation / Answer
(a) f() = 7 cos() ========> horizontal translation = 0
b) f() = cos(6) =========> horizontal translation = 1/6
(c) f() = sin(1/7) ========> horizontal translation = 7
(d) f() = cos( 150°) ======> horizontal translation = 0
(e) f() = 4 sin(+/3) ======> horizontal translation = 0
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