27.4k views
3 votes
What transformation rule would represent a shift of 3 units to the left and 4 units down?

a) (x, y) -> (x - 3, y - 4)
b) (x, y) -> (x - 4y - 3)
c) (x, y) -> (4x, 3y)
d) (x, y) -> (x + 3, y + 4)

User Isquierdo
by
8.0k points

1 Answer

6 votes

Final answer:

The transformation rule that corresponds to a shift of 3 units to the left and 4 units down is (x, y) -> (x - 3, y - 4). This means for each point, you subtract 3 from the x-coordinate and 4 from the y-coordinate.

Step-by-step explanation:

When looking at the given options to understand what transformation rule would represent a shift of 3 units to the left and 4 units down, we should recall that moving to the left on the x-axis means subtracting from the x-coordinate, and moving down on the y-axis means subtracting from the y-coordinate.

The correct transformation rule that describes this movement is option a) (x, y) -> (x - 3, y - 4).

This indicates that for any point (x, y), to shift it 3 units to the left, you subtract 3 from the x-coordinate. Similarly, to shift it 4 units down, you subtract 4 from the y-coordinate. So, the new position of the point after the transformation would be (x - 3, y - 4).

User Sirbrialliance
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories