Answer :
Using translation concepts, the coordinates of Z(x,y) after translating it 7 units down and then translating it 8 units right is:
Z'(x + 8, y - 7).
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the translations are given as follows:
- 8 units right, hence x -> x + 8.
- 7 units down, hence y -> y - 7.
Hence the coordinates of Z(x,y) after translating it 7 units down and then translating it 8 units right is:
Z'(x + 8, y - 7).
More can be learned about translation concepts at https://brainly.com/question/28351549
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