Question

part 1 of 3 progress: 0/3 (a) fill in the blanks to give the coordinates after the translation. x(-4,4)→x(,) y(-7,5)→y(,) z(-8,8)→z(,)

Explanation:

Step1: Observe translation on graph

By looking at the graph, we can see that each point is translated 10 units to the right and 4 units down.

Step2: Calculate new x - coordinate of X'

For point X(-4, 4), new x - coordinate is $-4 + 10=6$.

Step3: Calculate new y - coordinate of X'

New y - coordinate is $4-4 = 0$. So X' is (6, 0).

Step4: Calculate new x - coordinate of Y'

For point Y(-7, 5), new x - coordinate is $-7 + 10 = 3$.

Step5: Calculate new y - coordinate of Y'

New y - coordinate is $5-4=1$. So Y' is (3, 1).

Step6: Calculate new x - coordinate of Z'

For point Z(-8, 8), new x - coordinate is $-8 + 10 = 2$.

Step7: Calculate new y - coordinate of Z'

New y - coordinate is $8-4 = 4$. So Z' is (2, 4).

Answer:

X'(6, 0), Y'(3, 1), Z'(2, 4)