Question

1. (x,y) → (-x,y)

reflection in
reflection in y - axis
reflection in y = x
reflection in y = -x
(x,y) → (x, )
(x,y) → (-x, )
(x,y) → (y,x)
(x,y) → (-y,-x)

Explanation:

Step1: Analyze the transformation rule

The transformation $(x,y)\to(-x,y)$ changes the sign of the $x -$coordinate while keeping the $y -$coordinate the same.

Step2: Recall reflection rules

In a coordinate - plane, when a point $(x,y)$ is reflected over the $y -$axis, the $x -$coordinate changes its sign and the $y -$coordinate remains unchanged. That is, the rule for reflection over the $y -$axis is $(x,y)\to(-x,y)$.

Answer:

Reflection in y - axis