What is the difference in the rule of reflection for a point reflected across y=x and a point reflected across y=-x

The difference in the rule of reflection for the point reflected across y = x is, the rule would be (x, y) ---> (y, x). So the x and y values would be switched around. On the other hand, the rule of reflection for the point reflected across y = -x is, the rule would be, (x, y) ---> (-y, -x). So the values would switch places and would have the opposite sign (If the number was positive, it would be a negative, and if it was a negative number, it would turn into a positive.)

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

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