Reflections
This applet has 5 different functions. Your goals, will be to see how the function f(x) is transformed, when going to -f(x) and f(-x).
You can move switch between f(x) and -f(x), and also between f(x) and f(-x), and push "Switch Function" to cycle through the 5 available functions. Try it out, and then answer the questions below.
This type of transformation, is called reflections.
Question 1: Using the word reflection, describe how y=f(x) is transformed to y=-f(x). Be specific!
Question 2: Using the word reflection, describe how y=f(x) is transformed to y=f(-x). Be specific!
Question 3: For each function, write the simplified -f(x) and f(-x).