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).