Final answer:
To rotate the points, use the formula (-y, x) for each point. To translate the points, subtract 3 from the x-coordinate and add 8 to the y-coordinate.
Step-by-step explanation:
To rotate a point 90 degrees counter-clockwise, we can use the following formula: (-y, x).
So, let's apply this formula to each point:
1. (-7, -5) rotated 90 degrees counter-clockwise becomes (-(-5), -7) = (5, -7)
2. (-1, -2) rotated 90 degrees counter-clockwise becomes (-(-2), -1) = (2, -1)
3. (-1, -5) rotated 90 degrees counter-clockwise becomes (-(-5), -1) = (5, -1)
To translate a point 3 units left and 8 units up, we can simply subtract 3 from the x-coordinate and add 8 to the y-coordinate:
1. (5, -7) translated becomes (5-3, -7+8) = (2, 1)
2. (2, -1) translated becomes (2-3, -1+8) = (-1, 7)
3. (5, -1) translated becomes (5-3, -1+8) = (2, 7)