Question

you just translated points d, e, and f down 1 unit and 4 units to the left. what are the coordinates of points d, e, and f? original point translated point d (-3, 4) d ( , ) e (2, 8) e ( , ) f (1, -6) f ( , )

Explanation:

Step1: Recall translation rule

Moving left changes x - coordinate, moving down changes y - coordinate. The rule for moving a point $(x,y)$ down 1 unit and 4 units to the left is $(x - 4,y - 1)$.

Step2: Translate point D

For point $D(-3,4)$, using the rule $x=-3,y = 4$. New x - coordinate is $-3-4=-7$, new y - coordinate is $4 - 1=3$. So $D'(-7,3)$.

Step3: Translate point E

For point $E(2,8)$, new x - coordinate is $2-4=-2$, new y - coordinate is $8 - 1=7$. So $E'(-2,7)$.

Step4: Translate point F

For point $F(1,-6)$, new x - coordinate is $1-4=-3$, new y - coordinate is $-6 - 1=-7$. So $F'(-3,-7)$.

Answer:

$D'(-7,3)$
$E'(-2,7)$
$F'(-3,-7)$