Question

the function rule $t_{-4,6}(x,y)$ could be used to describe which translation?
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

Explanation:

Step1: Analyze the function rule

In the function rule $T_{- 4,6}(x,y)$, the first number -4 represents the change in the x - coordinate and the second number 6 represents the change in the y - coordinate.

Step2: Determine the x - coordinate change

A negative value for the x - coordinate change means a shift to the left. So, a change of -4 in the x - coordinate means the figure is translated 4 units to the left.

Step3: Determine the y - coordinate change

A positive value for the y - coordinate change means a shift up. So, a change of 6 in the y - coordinate means the figure is translated 6 units up.

Answer:

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