Question

20 POINTS

Answer 1

Answer:

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

7

Step-by-step 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.