Question

your turn

1. use coordinate - notation to write the rule that maps each pre - image to its image. then identify the transformation. graph the image rst to check your answer.

the coordinate rule is:
the transformation is:
preimage image
r(-4,3) → r(4,3)
s(-1,3) → s(1,3)
t(-4,1) → t(4,1)
does x or y value change signs?
2 which above rule does that happen with?

Explanation:

Step1: Analyze x - coordinate change

For point $R(-4,3)\to R'(4,3)$, $S(-1,3)\to S'(1,3)$ and $T(-4,1)\to T'(4,1)$, the $y$ - coordinates remain the same, and the $x$ - coordinates change sign. The general rule for a point $(x,y)$ is $(x,y)\to(-x,y)$.

Answer:

The coordinate rule is: $(x,y)\to(-x,y)$
The transformation is: Reflection over the y - axis