Transformation of a point in a graph refers to the shifting of the point at the graph at its coordinates. The coordinate of the point A is (5,-5). The option 2 is the correct option.
The transformation T(2,-1)
The image of after the transformation is at point A(-3,4).
Transformation of a point in a graph refers to the shifting of the point at the graph at its coordinates.
To move a graph up vertically and left horizontally with 1 units, we need to add 1 at both the coordinates with 1 units on the graph.
As the result of the point after transformation is (-3,4). Therefore the point A [tex](x,y)[/tex] is transformed with units [tex]T(2,-1)[/tex].
Let the x coordinate of the point A is x. Thus,
[tex]x=-3-2\\ x=-5[/tex]
Thus the x coordinate of the point A is at the negative x with 5 unit left.
Let the y coordinate of the point A is y. Thus,
[tex]y=4-(-1)\\ y=-4+1\\ y=5[/tex]
Thus the y coordinate of the point A is at the positive y with 5 unit up.
Hence the coordinate of the point A is (5,-5). The option 2 is the correct option.
Learn more about the transformation of the point here;
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