Part a: explain how to determine the value of the vertical translation, d, for the graph of g(x). (2 points)

part b: explain how to determine the value of the vertical translation, d, for the graph of f(x) = 2sin(θ + 120°) + 6. (3 points)

Part A: Up 9

Part B: Up 6

Step-by-step explanation:

Part A: The graph appears to be a cosine graph since it starts at a peak on the y-axis. Normally a cosine graph starts at (0,1). This graph begins at (0,10). It has been shifted up y a translation by 9.

Part B: Each trig equation has a basic structure f(x) = a sin (x+b) + k where:

A vertical translation is a vertical shift and is represented by the value in k added outside of the function. In the equation f(x) = 2sin(θ + 120°) + 6, k = 6. The vertical translation is 6.

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step-by-step explanation:

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