If you enter: e^x, 2, 2-e^x, 4-e^(x) for the expression, then you get to compare the different examples in post #1.Ī simple algebraic test that would catch the above mistakes: consider - if the graph crosses the mirror line, then the reflection will also cross the mirror line in the same places. will give you the same graph I presented above. It will let you plot more than one graph on the same axis too: For example, when point P with coordinates (5,4) is reflecting across the Y axis and mapped onto point P’, the coordinates of P’ are (-5,4). Not everyone has GNU-Octave, Matlab or Mathematica - or the need for that kind of power all the time. The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the -value the same. It is usually easier to see what's going wrong if you can plot the graph. Graph JKL and its image after a reflection in the y-axis. Step 3 : Now, let us multiply the two matrices. How can you reflect a figure in a coordinate plane Essential Question How can you reflect a.
![reflection in the y axis reflection in the y axis](https://images.squarespace-cdn.com/content/v1/54905286e4b050812345644c/1557521049917-WTP7ZBF2H54X7REWRA9N/ke17ZwdGBToddI8pDm48kLkol7yptKTPu6Og6-yrvEh7gQa3H78H3Y0txjaiv_0fDoOvxcdMmMKkDsyUqMSsMWxHk725yiiHCCLfrh8O1z5QPOohDIaIeljMHgDF5CVlOqpeNLcJ80NK65_fV7S1UT9pZxM2C0_rIvqVuegfp3qATFqDVY4CAb-UdhtTXq9Vmw4iU1foAOIoZERIkCQahw/XY.jpg)
Step 2 : Since the triangle ABC is reflected about x-axis, to get the reflected image, we have to multiply the above matrix by the matrix given below. What's cool about this place is that if I provide one approach, someone else tends to provide the other one. Solution : Step 1 : First we have to write the vertices of the given triangle ABC in matrix form as given below. Wolfram has an online mini-mathematica doesn't it? But what we really need is to get the output into a pic for presentation here. OTOH: it is more labor-intensive to present a pic in this medium. Example question 1: Reflect the following set of coordinates over. If you have a set of coordinates, place a negative sign in front of the value of each y-value, but leave the y-value the same.
![reflection in the y axis reflection in the y axis](https://beta.geogebra.org/resource/xDqQrwqh/REpNv2yoUsoqpbov/material-xDqQrwqh.png)
Reflection Over The X-Axis: Sets of Coordinates. Write a rule for g described by the transformations. Reflection over the x-axis for: Sets of Coordinates (x, y), Functions, Coordinates (with Matrices).
![reflection in the y axis reflection in the y axis](http://mathbitsnotebook.com/Geometry/Transformations/refX2.jpg)
as we have just seen, making the pics is actually easier than writing down the correct algebra from off the top of one's head. Let g be a reflection in the y-axis, followed by a translation 1 unit right of the graph of f(x)2x1.