The point (1, 1) is on f(x). after a series of 3 transformations, (1, 1) ha been moved to (2, -7). write a function g(x) that represents the transformations on f(x)

Step-by-step explanation:

Given that the point (1,1) is on f(x).

Three series of tranformations have been done to get the new point (2,-7)

Note that the three transformations need not be unique.

We can do the transformations in the following order

i) (1,1) is reflected about x axis.  So new point would be (1,-1)

ii) Shift the curve horizontally to the right by 1 unit.  Now new point transformed is (2,-1)

iii) Now shift vertically down by 6 units so that we reach (2,-7)

Thus the above transformations are one of the possibilities.

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