Question

A point A (x, y) is translated 7 units to the left and 2 units up. What is the mapping to the new point A’?

(x+2, y+7)
(x-7, y+2)
(x+2, y-7)
(x+7, y+2)

Answer 1

Answer: Choice B

Reason:

7 units to the left means x becomes x-7

2 units up means y becomes y+2

Therefore, the old preimage (x,y) translates or shifts to the new image (x-7, y+2)

Example:

`(\text{x},\text{y}) = (3,5)\\\\(\text{x},\text{y})\to(\text{x}-7,\text{y}+2)\\\\(3,5)\to(3-7,5+2)\\\\(3,5)\to(-4,7)\\\\`

The preimage (3,5) moves to (-4,7) after shifting 7 units left and 2 units up.