# Function Transformation

- Author:
- kputnam

An applet to investigate the effect of changing the values of A,B,C and D in a function of the form f(x) = C*(A+x)^B+D compared to the function f(x)=x^B

1. Begin by moving the slider labeled "D".
What happens if D is bigger than 0?
What happens if D is less than 0?
Set D back to 0.
2. Now moving the slider labeled "A".
What happens if A is bigger than 0?
What happens if A is less than 0?
Set A back to 0.
Guess: What does the graph of (3+x) ²-3 look like compared to x²?
Verify your guess by moving the appropriate sliders {(A+x)2 – D}
3. Now move slider C.
What happens if C is bigger than 1?
What happens if C is less than 1 but bigger than 0?
What happens if C is equal to zero? Why?
What happens if C is less than zero?