Question

If you were to translate the coordinate point C using vector(-2,-4), what would the coordinates of the new point be?

Answer 1

Given:

The point is C(0,3).

The translation vector is $\left$.

To find:

The coordinates of the new points after translation of point C.

Solution:

If a figure is translated by a vector $\left$, then

$(x,y)\to (x+a,y+b)$

The figure is translated by the vector $\left$, then

$(x,y)\to (x+(-2),y+(-4))$

$(x,y)\to (x-2,y-4)$

The point C is at (0,3).

$C(0,3)\to C'(0-2,3-4)$

$C(0,3)\to C'(-2,-1)$

Therefore, the coordinates of the new point are C'(-2,-1).