Question

problem 1 plot the location of points a, b, and c after a translation 4 units to the right and 1 unit up. then enter the coordinates in the table. point coordinates a b c

Explanation:

Step1: Recall translation rule

For a translation 4 units to the right and 1 unit up, if the original point has coordinates $(x,y)$, the new - point coordinates $(x',y')$ are given by $x'=x + 4$ and $y'=y + 1$.

Step2: Assume original coordinates of points

Let's assume $A=(-5,5)$, $B=(2,2)$, $C=(0,0)$.

Step3: Calculate new coordinates of point A

For point $A$ with $x=-5$ and $y = 5$, $x'=-5 + 4=-1$ and $y'=5 + 1=6$. So $A'=(-1,6)$.

Step4: Calculate new coordinates of point B

For point $B$ with $x = 2$ and $y=2$, $x'=2 + 4=6$ and $y'=2 + 1=3$. So $B'=(6,3)$.

Step5: Calculate new coordinates of point C

For point $C$ with $x = 0$ and $y=0$, $x'=0 + 4=4$ and $y'=0 + 1=1$. So $C'=(4,1)$.

Answer:

Point	Coordinates
$B'$	$(6,3)$
$C'$	$(4,1)$