Question

The image point of A after a translation left 1 unit and up 4 units is the pointB(-4,0). Determine the coordinates of the pre-image point A.Submit Answer

Answer 1

A(-3,-4)

Step-by-step explanation:

Let the coordinates of the pre-image A be (x,y)

If A was translated left by 1 unit, we have the coordinates: (x-1,y)

Also, if A was translated up by 4 units, we then have the image coordinates:

(x-1,y+4)

Since the image point of A is B(-4,0), we then have that:

`(x-1,y+4)=(-4,0)`

Equating the coordinates, we obtain:

`\begin{gathered} x-1=-4\implies x=-4+1=-3;\text{ and} \\ y+4=0\implies y=-4 \end{gathered}`

The coordinates of the pre-image point A is (-3,-4).