Solved

 Specify a sequence of transformations for the function h(x)=sin(x+π3)+7 that \text { Specify a sequence of transformations for the function } h ( x ) = \sin \left( x + \frac { \pi } { 3 } \right) + 7 \text { that }

Question 57

Multiple Choice

 Specify a sequence of transformations for the function h(x) =sin(x+π3) +7 that \text { Specify a sequence of transformations for the function } h ( x ) = \sin \left( x + \frac { \pi } { 3 } \right) + 7 \text { that } will yield the graph of hh from the graph of the function f(x) =sinxf ( x ) = \sin x .


A)
The function h(x) =sin(x+π3) +7h ( x ) = \sin \left( x + \frac { \pi } { 3 } \right) + 7 is a horizontal shift π3\frac { \pi } { 3 } units to the right, followed by a vertical shift 7 units downwards.
B) The function h(x) =sin(x+π3) +7h ( x ) = \sin \left( x + \frac { \pi } { 3 } \right) + 7 is a horizontal shift π3\frac { \pi } { 3 } units to the left, followed by a vertical shift 7 units upwards.
C) The function h(x) =sin(x+π3) +7h ( x ) = \sin \left( x + \frac { \pi } { 3 } \right) + 7 is a horizontal shift π3\frac { \pi } { 3 } units to the left, followed by a horizontal shift 7 units to the right.
D) The function h(x) =sin(x+π3) +7h ( x ) = \sin \left( x + \frac { \pi } { 3 } \right) + 7 is a vertical shift π3\frac { \pi } { 3 } units downwards, followed by a horizontal shift 7 units to the right.
E) The function h(x) =sin(x+π3) +7h ( x ) = \sin \left( x + \frac { \pi } { 3 } \right) + 7 is a vertical shift π3\frac { \pi } { 3 } units upwards, followed by a horizontal shift 7 units to the left.

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