Question

1. translation: 5 units up u(-3, -4), m(-1, -1), l(-2, -5)

Explanation:

Step1: Recall translation rule

For a translation of $k$ units up, the rule is $(x,y)\to(x,y + k)$. Here $k = 5$.

Step2: Translate point U

For $U(-3,-4)$, using the rule $(x,y)\to(x,y + 5)$, we get $U'(-3,-4 + 5)=U'(-3,1)$.

Step3: Translate point M

For $M(-1,-1)$, using the rule $(x,y)\to(x,y + 5)$, we get $M'(-1,-1+5)=M'(-1,4)$.

Step4: Translate point L

For $L(-2,-5)$, using the rule $(x,y)\to(x,y + 5)$, we get $L'(-2,-5 + 5)=L'(-2,0)$.

Answer:

$U'(-3,1),M'(-1,4),L'(-2,0)$