Rectangle "M" "N" "P" "Q"M​NPQ is translated 4 units left and 3 units up. Which rule best describes this transformation?

1 answer

To describe the transformation of rectangle \( MNPQ \) by translating it 4 units left and 3 units up, you can use the following rule:

\[ (x, y) \rightarrow (x - 4, y + 3) \]

This means that for each point \((x, y)\) of the rectangle:

  • You subtract 4 from the x-coordinate (to move left).
  • You add 3 to the y-coordinate (to move up).

Thus, the translation rule for the rectangle \( MNPQ \) after the specified transformation is:

Translation rule: \((x, y) \rightarrow (x - 4, y + 3)\)