Question

now, record the coordinates of points a, b, and c, the image of points a, b, and c after this translation.
original point translated point
a (-5, 8) a ( , )
b (-7, 4) b ( , )
c (-2, 4) c ( , )

Explanation:

Step1: Observe translation rule

By looking at the graph, we can see that each point is translated right 4 units and down 4 units.

Step2: Translate point A

For point A(-5, 8), add 4 to the x - coordinate and subtract 4 from the y - coordinate. $x=-5 + 4=-1$, $y=8-4 = 4$. So A' is (-1, 4).

Step3: Translate point B

For point B(-7, 4), $x=-7 + 4=-3$, $y=4-4 = 0$. So B' is (-3, 0).

Step4: Translate point C

For point C(-2, 4), $x=-2+4 = 2$, $y=4 - 4=0$. So C' is (2, 0).

Answer:

A' (-1, 4)
B' (-3, 0)
C' (2, 0)