What are the coordinates of the image of the point (-4, 3) after a rotation of 90 degrees counterclockwise around the origin followed by a translation of 1 unit down and 1 unit left?

Question

A: (2,3)

B: (-4,-5)

C: (-3,-4)

D: (-3,4)

Answer 1

Convert the point (x, y) to (-y, x) in order to rotate 90 degrees counter clockwise.

For example, if I had the point (9, -3), then x=9 and y=-3. Since -y is the opposite of negative three -(-3), the new point would be (3, 9).

Translate a point (x, y) to (x+h, y+k) where h is the horizontal change, and k is the vertical change. A downward or leftward translation will be negative. An upward or rightward translation will be positive.

For example, if I want to translate the previous new point (3,9) upward 4 units and to the right six units, then that's h=6 and k=4. The translated point will be (3+6, 9+4) or (9, 13).

If you can follow the examples I gave for rotation and translation, then you can answer your specific question. Let me know it turns out!