Answer:
The translation vector can be drawn on the coordinate grid or written as
\vec{v}=\langle a,b\rangle
v
=⟨a,b⟩
. For example, a translation vector that moves a figure
3
3
units right and
2
2
units down can be represented mathematically as
\vec{v}=\langle3,-2\rangle
v
=⟨3,−2⟩
, or graphically as
It doesn’t matter where the vector is positioned in the plane. In this figure, the vector starts at
(1,1)
(1,1)
and ends at
(4,-1)
(4,−1)
. But the initial point and terminal point of the vector are irrelevant. What matters is the length of the vector and the direction in which it points, so all you have to look at is how many units the vector moves in the
y
y
-direction and how many units the vector moves in the
x
x
-direction.
