Question

Point P', prime is the image of P(-2,-2), under a translation by 1 unit to the left and 3 units down. What are the coordinates of P', prime?

a. (-3, 1)
b. (-1, -5)
c. (0, -1)
d. (-2, -4)

Answer 1

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.