For a reflection across the x axis, both the slope and the y intercept would have the same magnitude but the opposite sign.
(x' , y') = (-x + 1 , y + 4)
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.
It will have moved 180 degrees and it will be up side down
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.
Reflection
It depends on the kind of transformation: it could be reflection or translation.
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
A reflection across the origin transforms a point ((x, y)) to ((-x, -y)). After this reflection, a translation of 3 units to the right and 4 units up shifts the point to ((-x + 3, -y + 4)). Therefore, the combined rule for the transformation is given by the mapping ((x, y) \to (-x + 3, -y + 4)).
To reflect a point across the origin, you simply change the sign of both the x- and y-coordinates of the point. This transformation involves multiplying the coordinates by -1.
It is called the ordinate.
In transformations a reflection across the x axis produces a mirror image
(x' , y') = (-x + 1 , y + 4)
To reflect a point across the line ( y = x ), you swap the coordinates of the point. For example, if you have a point ( (a, b) ), its reflection across the line ( y = x ) will be ( (b, a) ). This transformation applies to all points in the Cartesian plane.
No. Glide reflection is a combination of an ordinary reflection and a slide along the line of reflection. A two reflections across two vertical lines is a translation without any reflection or rotation.
Glide Reflection
The scientific rule for when light returns to the medium from which it originated is called Reflection. The rule for where it helps predict where light will be reflected is called the Law of Reflection.
The basic rule of specular reflection is that the angle of incidence is equal to the angle of reflection. This means that the angle at which light hits a surface is the same as the angle at which it bounces off, assuming a smooth interface.