Question

1. (x,y)→(−x,y) description: pre - image image a(0,3) a( , ) b(6,5) b( , ) c(2,5) c( , )

Explanation:

Step1: Apply transformation to point A

Given the transformation $(x,y)\to(-x,y)$ and point $A(0,3)$. Substitute $x = 0$ and $y=3$ into the transformation. So $A'( - 0,3)=A'(0,3)$.

Step2: Apply transformation to point B

For point $B(6,5)$, substitute $x = 6$ and $y = 5$ into the transformation $(x,y)\to(-x,y)$. We get $B'(-6,5)$.

Step3: Apply transformation to point C

For point $C(2,5)$, substitute $x = 2$ and $y = 5$ into the transformation $(x,y)\to(-x,y)$. We get $C'(-2,5)$.
The transformation $(x,y)\to(-x,y)$ represents a reflection over the y - axis.

Answer:

Pre - Image	Image
B(6,5)	B'(-6,5)
C(2,5)	C'(-2,5)

Description: Reflection over the y - axis.