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Answer:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed).

A point (a,b) reflected across the line y=-x will become (-b,-a).

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Suppose, coordinates is (a,b)

A point (a,b) reflected across the line y=-x will become (-b,-a).

If we model a function as a set of points (x,f(x)),

Then its image after that reflection will be those points (-f(x),-x),

Which if we define y such that x=f^-1(-y) comes out to (y,-f^-1(-y)).

In other words, it’s the negative of the inverse function applied to -x.

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