Question

You move down 2 units and up 8 units. You end at (0, 4). Where did you start?

Answer 1

Given:

You move down 2 units and up 8 units.

You end at (0, 4).

To find:

The starting point.

Solution:

Let the starting point be $(x,y)$.

You move down 2 units and up 8 units. So, the rule of translation is:

$(x,y-2+8)=(x,y+6)$

You end at (0, 4).

$(x,y+6)=(0,4)$

On comparing both sides, we get

$x=0$

$y+6=0$

$y=4-6$

$y=-2$

Therefore, the starting point is (0,-2).