Question

If the translation T maps point A(-3,1) onto point A'(5,5), what is he translation T?

Answer 1

< 8, 4 >

Explanation:

Consider the coordinates

x- coordinate A - 3 → A' 5 → that is + 8

y- coordinate A 1 → A' 5 → that is + 4

Hence T = < 8, 4 >

or (x, y) → (x + 8, y + 4)

Answer 2

The translation T is given by:

T(x,y)=(x+8,y+4)

i.e. it shifts the point 8 units to the right and 4 units up.

Explanation:

The translation is the transformation that changes the location of points of the figure but there is no change in the shape as well as size of the original figure.

It is given that:

The translation T maps point A(-3,1) onto point A'(5,5).

so, if the translation rule that is used is:

(x,y) → (x+h,y+k)

Here

(-3,1) → (5,5)

i.e.

-3+h=5 and 1+k=5

i.e.

h=5+3 and k=5-1

i.e.

h=8 and k=4

Hence, the translation is 8 units to the right and 4 units up.