![]() ![]() A vertical reflection reflects a graph vertically across the. The end result is that the point winds up in the same spot whether you rotated 180 degrees or whether you reflected about the y and then the x axis. Another transformation that can be applied to a function is a reflection over the x- or y-axis. Reflecting again about the x-axis moves the poijnt from (-7,3) to (-7,-3). Reflecting about the y-axis moves the point from (7,3) to (-7,3). Rotating another 90 degrees moves the point from (-3,7) to (-7,3). In the example, you can see tht rotqting 90 degrees moves the point from (7,3) to (-3,7). ![]() Rotating 90 degrees is not the same as reflecting about the y-axis, but when you reflect that about the x-axis, the original symmetry is restored. (iv) From P, draw a perpendicular on x-axis meeting it at Q. The mirror image can be either about x-axis or y-axis. (ii) Plot a point P (3, 1) (iii) Draw a line x 1, which is parallel to y-axis. It is a transformation which produces a mirror image of an object. Answer (i) Draw axis XOX’ and YOY’ taking 1 cm 1 unit. The following example shows what happens. Find the co-ordinates of the image of (3, 1) under reflection in x-axis followed by a reflection in the line x - 1. You can see this using an example of the point (7.3) in the following display. When you reflect again about the x-axis, (-x,y) becomes (-x,-y). When you reflect about the y-axis, (x,y) becomes (-x,y). If point on a shape is reflected in the y-axis, the y-coordinate stays the same, but the x-coordinate changes sign. What happens when you rotate 180 degrees is that (x,y) becomes (-x,-y) Reflections in the y-axis y f ( x ) + a translate up/down by the vector ( 0 a ) y f ( x + a ) translate left/right by the vector ( a 0 ) y. So reflecting about the y and then about the x is the same as rotating 180 degrees. Put x -x and Original equation > 2x-3y 8 After reflection > -2x-3y 8. You can put this solution on YOUR website!Įven though rotating 90 degrees is not the same as reflecting about the y-axis,when you reflect again about the x-axis, it becomes the same as reflecting an additional 90 degrees. Solution : Required transformation : Reflection about y - axis, So replace x by -x. ![]()
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