Question

now, translate triangle def 4 units to the right. start by translating the vertices of the triangle, points d, e, and f. the image of this translation will be points d, e, and f.
original point
d (3, -3)
e (5, -8)
f (3, -8)

Explanation:

Step1: Recall translation rule

For a right - hand translation of $x$ units on a point $(a,b)$, the new point is $(a + x,b)$. Here $x = 4$.

Step2: Translate point $D'$

Given $D'$ with coordinates $(3,-3)$. New $x$ - coordinate is $3 + 4=7$, $y$ - coordinate remains $-3$. So $D''=(7,-3)$.

Step3: Translate point $E'$

Given $E'$ with coordinates $(5,-8)$. New $x$ - coordinate is $5 + 4 = 9$, $y$ - coordinate remains $-8$. So $E''=(9,-8)$.

Step4: Translate point $F'$

Given $F'$ with coordinates $(3,-8)$. New $x$ - coordinate is $3+4 = 7$, $y$ - coordinate remains $-8$. So $F''=(7,-8)$.

Answer:

$D''=(7,-3)$, $E''=(9,-8)$, $F''=(7,-8)$