The equation of the translated function G(x) is given by:
G(x) = sin(x) + 2.
There are many transformations that can happen to the graph of a function, such as translation, stretch, compression, rotation, reflection, dilation and so on.
In the context of this problem, the transformation was a translation, in which the graph of the function is moved either left, right, up or down.
The parent function in this problem is:
y = sin(x).
From the given image, the function y, given by the dashed line, was shifted up 2 units to generate the function g(x), hence the definition of function g(x) is given by:
g(x) = sin(x) + 2.
The addition by 2 in the range of the function represents the translation up 2 units of the function.
The graph is missing and is given by the image at the end of the answer.
More can be learned about translations at https://brainly.com/question/28174785
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