The image of the point (-6, -2)under a translation is (−7,0). find the coordinates of the image of the point (7,0) under the same translation.

hello :  solutio  ( 6 ; 2)

Step-by-step explanation:

the translation is :    x' = x + a (*)

                                 y' = y + b ...(**)

calculate  the coordinates ( a ; b)  of vectro by the translation

you have : x' = -7    y' = 0     x = -6    y = -2

Substitute in (*) , (***) :   -7 = -6 +a

                                      0 = - 2 + b

a = -1   and b= 2

so :  x' = x - 1

      y' = y + 2

calculate now the coordinates of the image of the point (7,0) under the same translation.

x = 7  and b = 0

so : x' = 7-1 = 6   and y' = 0 + 2 = 2

the image is  : ( 6 ; 2 )

36 is the final answer! : )

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8