Question

13 fill in the blank 12 points given △klm where k(-1, - 2), l(-5, - 2), and m(-3, 5), graph △klm as a reflection across the y - axis and then graph △klm so it is translated (x + 4, y). dado △klm donde k(-1, - 2), l(-5, - 2), y m(-3, 5), grafica △klm como un reflejo a traves del eje y y luego grafica △klm para que sea traducido (x + 4, y).

Explanation:

Step1: Find coordinates after y - axis reflection

The rule for reflecting a point $(x,y)$ across the y - axis is $(-x,y)$.
For point $K(-1,2)$, after reflection, $K'=(1,2)$.
For point $L(-5,2)$, after reflection, $L'=(5,2)$.
For point $M(-3,5)$, after reflection, $M'=(3,5)$.

Step2: Find coordinates after translation

The translation rule is $(x + 4,y)$.
For $K'(1,2)$, after translation, $K''=(1 + 4,2)=(5,2)$.
For $L'(5,2)$, after translation, $L''=(5+ 4,2)=(9,2)$.
For $M'(3,5)$, after translation, $M''=(3 + 4,5)=(7,5)$.

Answer:

$K'=(1,2)$
$L'=(5,2)$
$M'=(3,5)$
$K''=(5,2)$
$L''=(9,2)$
$M''=(7,5)$