The image of (2, -2) after translating 2 units up and rotating 90 degrees counter clock wise about the origin is (0, 2).
What is translation?
A translation is the shifting of a figure from one place to another without rotating, reflecting or changing its side.
When a point (x, y) is translated then the new point after the translation will be (x + h, y + k) where h is the horizontal change and k is the vertical change. A downward or leftward translation will be negative. And an upward or rightward translation will be positive.
What is rotation?
A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.
When a point (x, y) is rotated 90 degrees counter clock wise then the new obtained point will be (-y, x).
According to the given question.
We have a point (2, -2).
Now, when the given point (2, -2) is translated 2 units up then the translated point will be (2, -2+2) i.e. (2, 0).
And when (2, 0) is rotated 90 degrees counter clock wise about the origin then the rotated point will be (0, 2).
Therefore, the image of (2, -2) after translating 2 units up and rotating 90 degrees counter clock wise about the origin is (0, 2).
Find out more information about translation and rotation here:
https://brainly.com/question/16710736
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