Sketch the graph of the given equation over the interval ​[-2π, 2π​]

y=sinx+5

Select.all the transformations that are needed to graph the given function using y=sinx.

A. Stretch the graph vertically.
B. Reflect the graph about the​ y-axis.
C. Shift the graph to the left 5 units.
D. Stretch the graph horizontally.
E. Shift the graph up 5 units
F. Shift the graph down 5 units.
G. Reflect the graph about the x axis.
H. Shift the graph to the right 5 units
I. Compress the graph vertically.
J. Compress the graph horizontally.

1 answer

The only transformation needed to graph y = sin(x) + 5 is:
E. Shift the graph up 5 units

Therefore, the correct option is E. Shift the graph up 5 units.
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