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:

In a translation function \(T_{a,b}(x,y)\), \(a\) represents the horizontal - shift and \(b\) represents the vertical - shift. If \(a\lt0\), the figure moves \(|a|\) units to the left, and if \(a\gt0\), it moves \(a\) units to the right. If \(b\lt0\), the figure moves \(|b|\) units down, and if \(b\gt0\), it moves \(b\) units up. For \(T_{ - 4,6}(x,y)\), \(a=-4\) (moves 4 units to the left) and \(b = 6\) (moves 6 units up).

Answer:

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