The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are (
,
). The coordinates of the point that is a reflection of Y across the y-axis are (
,
).
reflection across the
x-axis : (x,y) → (x,-y)
y-axis : (x,y) → (-x,y)
why all those extra new-lines? so annoying ...
To find the coordinates of the point that is a reflection of Y(-4, -2) across the x-axis, you need to keep the x-coordinate the same and change the sign of the y-coordinate.
So, the x-coordinate of the reflected point will be -4, since it remains the same. And the y-coordinate of the reflected point will be 2, since the sign of -2 is changed to positive 2.
Therefore, the coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are (-4, 2).
To find the coordinates of the point that is a reflection of Y across the y-axis, you need to keep the y-coordinate the same and change the sign of the x-coordinate.
So, the y-coordinate of the reflected point will be -2, since it remains the same. And the x-coordinate of the reflected point will be 4, since the sign of -4 is changed to positive 4.
Therefore, the coordinates of the point that is a reflection of Y(-4, -2) across the y-axis are (4, -2).