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Select the correct answer.
Consider function g.
9(z) = 3 sin (TZ)
Function g is horizontally stretched by a factor of 2 and then translated 2 units down to obtain function f. Which graph matches the described
transformation?

Select The Correct Answer Consider Function G 9z 3 Sin TZ Function G Is Horizontally Stretched By A Factor Of 2 And Then Translated 2 Units Down To Obtain Funct class=

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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