![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' = ([?], []). En class=](https://us-static.z-dn.net/files/d02/cc105d1b7bcdf2865612960bc35bb152.png)
Answer :
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, [tex]T_{(x, \ y)}[/tex] = (x-coordinate + 4, y-coordinate - 3)
Therefore, the translation, [tex]T_{(x, \ y)}[/tex] = 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) [tex]\overset{T_{\left ( 4, \, -3 \right )}}{\rightarrow}[/tex]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.