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I don’t understand do I reflect it then translate it?

I don’t understand do I reflect it then translate it?-example-1
User Nils Anders
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1 Answer

24 votes
24 votes

Okay, here we have this:

Considering the provided graph, we obtain that:

We can see that the original points (figure N) are: (-5, 7), (-1, 5), (-8, 2), (-7, 2), (-5, 1)

And the final points (figure O) are: (7, -5), (5, -1), (2, -8), (2, -7), (1, -5).

Here we look, that from figure N to figure O the coordinates of the points in x and y are interchanged, therefore we are going to identify two transformations that do this:

We know that the reflection through the X axis, does this: (x, y) ... (x, -y), and also know that the rotation 90 degrees clockwise, results in: (x, y) ... (- y, x).

So when applying them together we get that:

(x, y)->(x, -y)->(-(-y), x)->(y, x)

This is just what we need, swap the coordinates and keep the sign.

So, finally we obtain that the correct answer is: A reflection over the x-axis, followed by a rotation 90° clockwise about the origin.

User Stefan Ollinger
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3.1k points