Question

the image of the figure using the transformation given. reflection across x = 2 4) reflection across x = 2 write a rule to describe each transformation.

Explanation:

Step1: Recall reflection rule

For a reflection across the vertical line $x = a$, the rule for a point $(x,y)$ is $(2a - x,y)$. Here $a = 2$, so the rule is $(4 - x,y)$.

Step2: Apply rule to points

If we have a point $(x_1,y_1)$ on the original figure, its image after reflection across $x = 2$ will be $(4 - x_1,y_1)$. We would repeat this for all vertices of the given figure to find the reflected - image vertices.

Answer:

To find the image of a figure reflected across $x = 2$, use the rule $(x,y)\to(4 - x,y)$ for each point $(x,y)$ of the original figure.