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

Multiple Choice

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

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