Using translation concepts, the equation of the new function is given by:
a. G(x) = –3x
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is:
F(x) = x.
When it is vertically stretch by multiplying by 3, the function is:
G(x) = 3x.
When it is flipped over the x-axis, it is equivalent to multiply by -1, hence:
G(x) = -3x.
Which means that option A is correct.
More can be learned about translation concepts at https://brainly.com/question/4521517
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