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Sagot :
The y-intercept exists reduced by 2 units. Hence there exists a translation of 2 units down.
How to find the graph of the given function?
Let the function be g(z) = 3 sin (TZ).
A vertical stretch by a factor of k indicates that the point (x, y) on the graph of f (x) exists transformed to the point (x, ky) on the graph of g(x), where k < 1.
If k = 1, then the same graph we get, and if k > 1 we get a vertically shrink graph.
In our question, there exists a vertical stretch of 2. This means the new graph would have points as (x, y/2)
i.e. instead of f(x) = y, we have now f(x) = y/2
So transformation is g(x) = 3f(x)
The y-intercept exists reduced by 2 units. Hence there exists a translation of 2 units down.
Therefore, the correct answer is option C.
To learn more about graphical functions refer to:
https://brainly.com/question/11380655
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