Question

you just translated points a, b, c, and d to the right 3 units and up 2 units. record the coordinates of points b, c, and d. original point translated point a (5,1) a (8,3) b (-3,2) b ( , ) c (-6,-4) c ( , ) d (2,-7) d ( , )

Explanation:

Step1: Recall translation rule

To translate a point $(x,y)$ to the right 3 units and up 2 units, the new - point is $(x + 3,y+2)$.

Step2: Find coordinates of $B'$

For point $B(-3,2)$, using the rule $x=-3,y = 2$. Then $x+3=-3 + 3=0$ and $y + 2=2+2 = 4$. So $B'=(0,4)$.

Step3: Find coordinates of $C'$

For point $C(-6,-4)$, with $x=-6,y=-4$. Then $x + 3=-6+3=-3$ and $y+2=-4 + 2=-2$. So $C'=(-3,-2)$.

Step4: Find coordinates of $D'$

For point $D(2,-7)$, where $x = 2,y=-7$. Then $x+3=2 + 3=5$ and $y+2=-7+2=-5$. So $D'=(5,-5)$.

Answer:

$B':(0,4)$
$C':(-3,-2)$
$D':(5,-5)$