Question

What is the image of the point (-4, -8) when the translation rule (x, y) → (x-5, y + 3) is used?

1. (-5, 3)
2. (-9,-5)
3. (-1,-5)
4. (-1, -13) ​

Answer 1

To find the image of the point (-4, -8) after applying the translation rule (x, y) → (x - 5, y + 3), we need to substitute the given coordinates into the rule:

x-coordinate of the image = -4 - 5 = -9
y-coordinate of the image = -8 + 3 = -5

So, the image of the point (-4, -8) after the translation is (-9, -5).

The correct option is 2. (-9, -5).

Answer 2

The image of the point (-4, -8) when the translation rule (x, y) » (x-5, y + 3) is used is ( -9, -5).

To find the image of the point, we apply the translation rule to the coordinates of the original point (-4, -8):
(x, y) » (x-5, y+3)
(-4, -8) » (-4-5, -8+3)
(-4, -8) » (-9, -5)

Therefore, the image of the point (-4, -8) is (-9, -5).