Answer:
[tex]k(x,y) --> k'(x,y-7)[/tex]
Step-by-step explanation:
Given
[tex]k = (-3,4)[/tex]
Translation: 7 units down
Required
Determine the rule to produce k'
When an (x,y) coordinate is translated down by h units, the resulting point is:
(x,y) --> (x, y - h)
In this case:
[tex]h = 7[/tex]
So, we have:
[tex]k(x,y) --> k'(x,y-7)[/tex]
Hence, option A answers the question.
Solving further to determine the coordinates of k'.
[tex]k = (-3,4)[/tex]
[tex]k' = (-3,4-7)[/tex]
[tex]k' = (-3,-3)[/tex]
