Answer :

Answer:

A(-3,-4)

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:

[tex](x-1,y+4)=(-4,0)[/tex]

Equating the coordinates, we obtain:

[tex]\begin{gathered} x-1=-4\implies x=-4+1=-3;\text{ and} \\ y+4=0\implies y=-4 \end{gathered}[/tex]

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

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