Question

using the transformation given.

1. reflection across x = 2

Explanation:

Step1: Recall reflection formula

For a point $(x,y)$ reflected across the vertical line $x = a$, the new - $x$ coordinate is $x'=2a - x$ and the $y$ - coordinate remains the same, i.e., $y' = y$. Here $a = 2$.

Step2: Apply the formula

Let the original point be $(x,y)$. The new $x$ - coordinate of the reflected point is $x'=2\times2 - x=4 - x$, and the $y$ - coordinate of the reflected point is $y' = y$.

Since no specific point is given in the question, the general rule for reflection across $x = 2$ is that a point $(x,y)$ is mapped to $(4 - x,y)$.

Answer:

A point $(x,y)$ is reflected to $(4 - x,y)$ across the line $x = 2$.