Question

A triangle is translated by using the rule (x, y) right-arrow (x minus 4, y + 1). Which describes how the figure is moved?
four units left and one unit down
four units left and one unit up
one unit right and four units down
one unit right and four units up

Answer 1

The translation rule (x, y) → (x - 4, y + 1) indicates that for every point (x, y) in the triangle, the x-coordinate decreases by 4 and the y-coordinate increases by 1.

- Decreasing the x-coordinate by 4 means moving 4 units to the left.
- Increasing the y-coordinate by 1 means moving 1 unit up.

Therefore, the figure is moved **four units left and one unit up**.