Reflections

                                                            Reflections




      A reflection (flip) is when a point or graph is identical on either side of a line of reflection.




  reflection in the x-axis  

When reflecting about the x-axis, the y-values are affected, while the x-values stay the same

y = -f(x)

make the y-values negative - (x, y) → (x, -y)

Example:
                    What is the reflected ordered pair if (5, -2) is reflected in the x-axis?

                        - make y-values negative - (5,-2) →  (5,2) 




  reflection in the y-axis  

When reflecting about the y-axis, the x-values are affected, while the y-values stay the same

y = f(-x)

make the x-values negative - (x, y) → (-x, y)

Example:
               What is the reflected ordered pair if (1, -4) is reflected in the y-axis?

                 - make x-values negative - (1, -4) →  (-1, -4) 



  reflection in the x-axis and y-axis  

The function y = -f(-x) involves a reflection in the x-axis as well the the y-axis

make the x-values and y-values negative - (x, y) → (-x, -y)

Example: 
               What is the reflected ordered pair if (-3, 2) is reflected in both the x-axis and y-axis?

                  - make x and y values negative - (-3, 2) →  (3, -2)