Question

select the answer that describes the translation. up 1 unit and right 3 units up 3 units and right 1 unit left 1 unit and down 3 units left 3 units and down 1 unit

Explanation:

Step1: Analyze the horizontal movement

Let's take a point, say point \(B\) (original) at \((0,0)\) and point \(B'\) (translated) at \((- 3, - 1)\). The change in the \(x -\)coordinate: \(\Delta x=x_{B'}-x_{B}=-3 - 0=-3\). A negative change in the \(x -\)coordinate means a left - ward movement. The magnitude of the change is \(3\) units.

Step2: Analyze the vertical movement

The change in the \(y -\)coordinate: \(\Delta y=y_{B'}-y_{B}=-1 - 0=-1\). A negative change in the \(y -\)coordinate means a down - ward movement. The magnitude of the change is \(1\) unit.

Answer:

Left 3 units and down 1 unit