The function rule T–4, 6(x, y) could be used to describe which translation?

Question

a parallelogram on a coordinate plane that is translated 4 units down and 6 units to the right
a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up
a rhombus on a coordinate plane that is translated 4 units down and 6 units to the left
a rectangle on a coordinate plane that is translated 4 units to the right and 6 units up

Answer 1

The function rule T–4, 6(x, y) indicates a translation where 4 is subtracted from the x-coordinate and 6 is added to the y-coordinate. This implies:

• The x-coordinate is translated 4 units to the left (because of the -4).
• The y-coordinate is translated 6 units up (because of the +6).

Thus, the translation described corresponds to moving the figure 4 units to the left and 6 units up.

So, the correct option is:

A trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up.