Question

1. reflection across the y - axis

b(1, 3), h(4, 4), d(4, -1)
b ( ) h ( ) d( )

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the y - axis, the transformation rule is $(x,y)\to(-x,y)$.

Step2: Apply rule to point B

For point $B(1,3)$, using the rule $(x,y)\to(-x,y)$, we get $B'(- 1,3)$.

Step3: Apply rule to point H

For point $H(4,4)$, using the rule $(x,y)\to(-x,y)$, we get $H'(-4,4)$.

Step4: Apply rule to point D

For point $D(4,-1)$, using the rule $(x,y)\to(-x,y)$, we get $D'(-4,-1)$.

Answer:

$B'(-1,3)$, $H'(-4,4)$, $D'(-4,-1)$