Question

The image point of A after a translation right 4 units and up 3 units is the point B(-1,8). Determine the coordinates of the pre-image point A.

Answer 1

The coordinates of the pre-image point A. is;

`A(x,y)\text{ = (-5,5)}`

Step-by-step explanation:

Given that;

the image point A after a translation right 4 units and up 3 units.

It can be represented as;

`A(x,y)\rightarrow B(x+4,y+3)`

Given;

`B(-1,8)`

So,

`B(x+4,y+3)=B(-1,8)`

Then;

`\begin{gathered} x+4=-1 \\ x=-1-4 \\ x=-5 \end{gathered}`

and;

`\begin{gathered} y+3=8 \\ y=8-3 \\ y=5 \end{gathered}`

Therefore, the coordinates of the pre-image point A. is;

`A(x,y)\text{ = (-5,5)}`