Final answer:
The image point P' from P(-2, -2) after a translation 1 unit left and 3 units down is at the coordinates (-3, -5), which corresponds to option b.
Step-by-step explanation:
The coordinates of point P', which is the image of point P(-2, -2) under a translation by 1 unit to the left and 3 units down, can be determined by subtracting 1 from the x-coordinate of P and subtracting 3 from the y-coordinate of P. This can be represented as:
- For the x-coordinate: -2 - 1 = -3
- For the y-coordinate: -2 - 3 = -5
Therefore, the coordinates of P' are (-3, -5), which corresponds to option b.