Respuesta :

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]