Question

error analysis describe the error in graphing the image of quadrilateral efgh after the translation (x,y)→(x - 1,y - 2). graph the corrected image after the translation.

Explanation:

Step1: Analyze the translation rule

The rule $(x,y)\to(x - 1,y - 2)$ means each point of the original quadrilateral should be moved 1 unit to the left and 2 units down.

Step2: Check the error in the given graph

In the given graph, the points of the quadrilateral were moved 1 unit to the left and 2 units up instead of 2 units down. For example, if we consider a point $(x,y)$ of the original quadrilateral, the $y$-coordinate of its image should be $y- 2$ (a decrease in the $y$-value), but in the graph, the $y$-coordinate of the image points has an increase.

Answer:

The error is that the points of the quadrilateral were translated 1 unit to the left and 2 units up instead of 2 units down as per the rule $(x,y)\to(x - 1,y - 2)$.