Respuesta :

Answer:

[tex]T_{ - 5 ,

8} \: or \: D'(x,y) →D(x - 5,y + 8)[/tex]

Step-by-step explanation:

[tex]T _ { ? ,

?}[/tex]

[tex]D'(x,y) →D(x \pm ?,y \pm ?)[/tex]

given D : (7,-3), and D' : (2,5)

the coordinates of D can be represented as (x1,y1), and the coordinates of D' can be represented as (x,y).

you can simply take the difference in the x values and difference in the y values from the preimage to image.

like this:

f'(x,y) → f(x+(x-x1),y+(y-y1)) : [tex]

T _ {(x-x_1),(y-y_1)}[/tex]

D'(x,y) → D(x+(2-7),y+(5--3))

D'(x,y) → D(x-5,y+8) : [tex]

T _ {-5 ,8}[/tex]

Answer:

5 places to the right on the x-axis and 8 places up.

Step-by-step explanation:

(-5,+8)