The coordinate of a point in 1-Dimensional space will remain unchanged through such a reflection.
Which point is not located on the xaxis or the yaxis of a coordinate grid?Read more:Which_point_is_not_located_on_the_xaxis_or_the_yaxis_of_a_coordinate_grid
It is called the ordinate.
In a reflection along the x-axis, the y-coordinate of a point changes sign while the x-coordinate remains the same. Therefore, the coordinate ( (2, -1) ) transforms into ( (2, 1) ).
The reflection point of a point across the x-axis can be found by changing the sign of the y-coordinate. For the point (1, -2), its reflection across the x-axis is (1, 2) because the x-coordinate remains the same while the y-coordinate changes from -2 to 2.
For a given coordinate pair. A reflection in the y-axis is making the 'x' term negative. e.g. ( a,b,) ' (-a, b). Similarly for a reflection in the x-axis is making the 'y' term negative. e/.g. ( c,d) ; ( c,-d).
Which point is not located on the xaxis or the yaxis of a coordinate grid?Read more:Which_point_is_not_located_on_the_xaxis_or_the_yaxis_of_a_coordinate_grid
It is called the ordinate.
For a reflection over the x axis, leave the x coordinate unchanged and change the sign of the y coordinate.For a reflection over the y axis, leave the y coordinate unchanged and change the sign of the x coordinate.
René Descartes
In a reflection along the x-axis, the y-coordinate of a point changes sign while the x-coordinate remains the same. Therefore, the coordinate ( (2, -1) ) transforms into ( (2, 1) ).
The reflection point of a point across the x-axis can be found by changing the sign of the y-coordinate. For the point (1, -2), its reflection across the x-axis is (1, 2) because the x-coordinate remains the same while the y-coordinate changes from -2 to 2.
When a point is reflected across the x-axis, the y-coordinate changes sign while the x-coordinate remains the same. If the new point after reflection is -7.56, the original point must be 7.56. The distance between the two points, which are (x, 7.56) and (x, -7.56), is the absolute difference of their y-coordinates: |7.56 - (-7.56)| = |7.56 + 7.56| = 15.12. Thus, the distance between the two points is 15.12 units.
The reflection of a point across the y-axis involves changing the sign of the x-coordinate while keeping the y-coordinate the same. In this case, the point (-1, -5) will reflect to (1, -5) across the y-axis. This is because the x-coordinate changes from -1 to 1, while the y-coordinate remains -5.
For a given coordinate pair. A reflection in the y-axis is making the 'x' term negative. e.g. ( a,b,) ' (-a, b). Similarly for a reflection in the x-axis is making the 'y' term negative. e/.g. ( c,d) ; ( c,-d).
This is a transformation which could be a rotation, translation or reflection.
To determine the coordinates after a reflection in the x-axis, you keep the x-coordinate the same and negate the y-coordinate. For example, if a point has coordinates (x, y), its reflection in the x-axis will be (x, -y). This means that any point above the x-axis will move to an equivalent position below it, and vice versa.
.... then your graph is inverted.