Question

Point P(−3, −4) is rotated 90° counterclockwise about the origin.

What are the coordinates of its image after this transformation?

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Answer 1

[AI-generated answer — Bot GPT 3.5]

The coordinates of the image after the rotation can be found by applying the following rotation formula:

For a point (x, y) rotated 90° counterclockwise about the origin, the new coordinates (x', y') are:
x' = y
y' = -x

Using this formula with the original point P(-3, -4):

x' = -4
y' = 3

Therefore, the coordinates of the image after the rotation are (-4, 3).