Question

20 POINTS

Translations
7
Acellus
Find the image of the given point
under the given translation.
Help Resources
P(3,-5) T(x, y) = (x +4, y-3)
P' = ([?], []).
Enter the number that belongs in
the green box.
Enter

Answer 1

The number that belongs in the green P' = ([?], [ ]) with P' = (7, -8) box is;

7

Explanation:

The coordinate of the given point 'P' is P = (3, -5)

The preimage of (x, y) after the translation,
`T_((x, \ y))` = (x-coordinate + 4, y-coordinate - 3)

Therefore, the translation,
`T_((x, \ y))` = T₍₄, ₋₃₎

Therefore, we have;

Preimage P(3, -5) under the translation T₍₄, ₋₃₎ gives the image P' as follows

P(3, -5)
`\overset{T_(\left ( 4, \, -3 \right ))}{\rightarrow}`P'(3 + 4, -5 - 3) = P'(7, -8)

Therefore, the number that belongs in the green box is the x-coordinate value of the point P'(7, -8) which is seven.