Question

Given the ordered pair (5, -4), where will the transformed image be after the following

Answer 1

Using translation concepts, it is found that the transformed image of (5,-4) after the composition will be given by:

D.) (-6, 6)

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, first the image is rotated 180º around the origin, hence:

(x,y) -> (-x, -y), then:

(5,-4) -> (-5, 4).

Then, T(-1,2) means that:

(x,y) -> (x - 1, y + 2).

Then:

(-5,4) -> (-5 -1, 4 + 2) -> (-6,6)

Hence option D is correct.

More can be learned about translation concepts at brainly.com/question/4521517

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