Question

1. what type of transformation is shown? a. reflection across the line y = x. b. reflection across the x - axis. c. rotation of 90°. d. reflection across the line y = -x.

Explanation:

Step1: Recall transformation rules

Reflection across $y = x$ swaps $x$ and $y$ - coordinates. Reflection across $x$ - axis changes sign of $y$ - coordinate. Rotation of $90^{\circ}$ has specific $(x,y)\to(-y,x)$ rule. Reflection across $y=-x$ swaps $x$ and $y$ and changes their signs.

Step2: Analyze the graph visually

By observing the graph, we can see that the pre - image and image points seem to have their $x$ and $y$ coordinates swapped. This is the rule for reflection across the line $y = x$.

Answer:

A. Reflection across the line $y = x$