Question

Given image A’B’C’D’E’.

If the pre-image contained Point A (-1, 5), which of the transformations resulted in image A’B’C’D’E’?

A(x, y) → (x - 3, y + 1)
A(x, y) → (x - 3, y - 1)
A(x, y) → (x + 3, y - 1)
A(x, y) → (x + 3, y + 1)

Answer 1

The second option (x-3, y-1) is your answer. You can just compare the original coordinates of a which is (-1,5) with the new A (-4,4). To get from -1 to -4 you have to subtract 3 from it and to get from 5 to 4 you have to subtract one from it.

Answer 2

The transformations resulted in image A’B’C’D’E' is:

A(x,y) → (x-3,y-1)

Explanation:

The coordinates of the Point A is given by: A(-1,5)

and the coordinates of the Point A' is given by: A'(-4,4)

Let the translation be given by the rule:

(x,y) → (x+h,y+k)

Here

(-1,5) → (-4,4)

i.e.

-1+h= -4 and 5+k=4

i.e.

h= -4+1 and k=4-5

i.e.

h= -3 and k= -1

The transformation is:

A(x,y) → (x-3,y-1)