Respuesta :

If a point is reflected over the y axis, it is the x coordinate that is changing. It is going to be the same distance from the y axis as before, just now the opposite. So now the coordinates of x are going to be (-4,-5).

Answer:

[tex]\tilde{x}=(-4,-5)[/tex]

Step-by-step explanation:

When we reflect a point [tex]P=(p_x,p_y)[/tex] over the y-axis, it's reflected to the point [tex]\tilde{P}[/tex] with the same y-coordinate as P and whose x-coordinate is minus the x-coordinate of P, hence

[tex]\tilde{P}=(-p_x,p_y).[/tex]

Therefore, in our particular case the point x=(4,-5) is reflected to the point

[tex]\tilde{x}=(-4,-5).[/tex]