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Answer:

It is given that image of any point (x,y) is (-x,y).

It is the case of reflection of a point through Y - axis.

So , Image of point (x,y) is (-x,y).

it's pre-image will be Point A whose coordinate is (x,y).




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JeanaShupp

Answer:  Preimage of A' is A (x,y).


Step-by-step explanation:

Suppose we have given a point A' (-x,y) and let [tex]r_y[/tex] be the rotation transformation with center of rotation at origin(0,0) such that

[tex]r_y (x,y) =(-x,y) \\[/tex]  

Now in rotation transformation of any point about y axis i.e.( [tex]r_y[/tex]) it produces the reflected image by changing the polarity of x abscissa only and not of y. Therefore, by applying rotation transformation about y axis on image A'(-x,y) gives the pre-image of (-x,y) = (x,y) [which is the reflection of A'].

For example :- let P (1,2) be any point then after rotation transformation about y axis it will become P'(-1,2).

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