Question

describe the sequence of transformations that results in the transformation of abcd to abcd.

Explanation:

Step1: Analyze the position change

First, observe the vertical position change of the figure. The original figure \(ABCD\) is reflected over the \(x -\)axis. For a point \((x,y)\) reflected over the \(x -\)axis, the transformation rule is \((x,y)\to(x, - y)\).

Step2: Analyze the subsequent transformation

After reflection over the \(x -\)axis, then observe the horizontal position change. The figure is translated \(1\) unit to the left. For a point \((x,y)\) translated \(h\) units to the left (\(h = 1\)), the transformation rule is \((x,y)\to(x - h,y)\)

Answer:

Reflect \(ABCD\) over the \(x -\)axis and then translate the resulting figure \(1\) unit to the left.