If p=(-3,5), find the image of p under the following rotation. 90 degrees counterclockwise about the origin.

(-5,-3)

Step-by-step explanation:

When you are rotating 90 degrees, the image point is always going to be an adjacent quadrant (next to).  You also just sway x and y and figure out the signs that make sense there. So it says counterclockwise and we are in the second quadrant (1st quadrant is clockwise so not there and 3rd quadrant is counterclockwise so they are both negative)

The answer is (-5,-3).

P'(- 5, - 3 )

Step-by-step explanation:

Under a counterclockwise about the origin of 90°

a point (x, y ) → (- y, x ), hence

P(- 3, 5 ) → P'(- 5, - 3 )

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step-by-step explanation: