Question

Triangle xyz is reflected across the y axis and x = 4,-5 what are the coordinates of x

Answer 1

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 2

`\tilde{x}=(-4,-5)`

Explanation:

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

`\tilde{P}=(-p_x,p_y).`

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

`\tilde{x}=(-4,-5).`