Question #1916c

1 Answer
Oct 6, 2017

Replace each x-value with the respective y-value, and vice-versa.

Or, reflect over the line x=y, black in the image shown.

https://www.desmos.com/calculator/ecewm0hyod

Explanation:

In your case, there are only a couple steps to getting the final image.

  1. Find and write out all your given points in a table, like this:
    enter image source here
    You can get these numbers by looking at the bottom of the graph and finding the x value for a single point, and the corresponding y-value on the vertical axis.

  2. Now that you have all your points in an (x, y) form, remember your transformation rule: (x, y) #-># (y, x)

  3. Looking at this, know that you should create a second table, with the new x values being the old y-values, and the new y-values being the old x-values, essentially swapping them:enter image source here

  4. Finally, plot your new points and maybe even connect the lines. This whole process is the same as reflecting over the line y=x.