2. a translation maps a(1, 2) onto a'(-1, 3). what are the coordinates of the image of the origin under the same
translation?
a. (-1,2)
b. (2, -1)
, 1)
d. (0,0)

Option C.(-2, 1)

Step-by-step explanation:

we know that

A translation maps A(1, 2) onto A'(-1, 3)

so

A(1, 2) > A'(-1, 3)

The rule of the translation is

(x,y) > (x+a,y+b)

(1,2) > (1+a,2+b)

Find the value of a

1+a=-1 > a=-2

Find the value of b

2+b=3 > b=1

substitute the values of a and b

(x,y) > (x-2,y+1)

Apply the rule of the translation to the origin

(0,0) > (0-2,0+1)

(0,0) > (-2,1)

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.