If the range of the coordinate transformation (, ) = (−2,−3 +1) is (4, −2), (2, −5), (−6, 4), what is the domain? A. (-2, 1), (-1, 2), (3, -1)

B. (-8, 7), (-4, 16), (19, -11)

C. (-8, 1), (-4, 2), (19, -1)

D. (-2, 7), (-1, 16), (3, -11)

Consider the below figure attached with this question.

Given:

The transformation is:

The range is (4,-2), (2, −5), (−6, 4).

To find:

The domain of the transformation.

Solution:

We have,

For the point (4,-2),

On comparing both sides, we get

And,

So, the domain of (4,-2) is (-2,1).

Similarly,

For the point (2,-5),

On comparing both sides, we get . So, the domain of (2,-5) is (-1,2).

For the point (-6,4),

On comparing both sides, we get . So, the domain of (-6,4) is (3,-1).

So, the domain of the given transformation is (-2, 1), (-1, 2), (3, -1).

Therefore, the correct option is A.

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d

step-by-step explanation: