- Parent functions
- The most inner function f(x) — coefficient of x is 1
- 3-5 points for easy calculation
f(2x+1) : consider 2x+1 –> x by (-1) , they by (1/2)
Notes: corresponding x (input) and y (output)
f(x) = f(2x+1) , smaller input x to make 2x+1 corresponding to x in f(x)
Stacking the function by factoring (x, /, square root, power, etc.) ; then by +/-
Working on input x transformations
Working on output y transformations
3-4 Transformations
Coefficient: a changes
- Input x stay same, check new y values
Coefficient: b changes
- Output y stay same, check new x values
5. Translations
6. Reflections
7. Multiple Transformations: examples
8. Properties of Functions
Video Lessons 1.5 Transformation of Functions
- Intro to the graphs of transformations
- Transformation of functions
- Summary of Function Transformations
- Horizontal and Vertical Stretches and Compressions
- Vertical and Horizontal Translations or Shifts
- Reflections across the x-axis and y-axis
- Multiple Transformations:
- Properties of Functions (symmetry, even, odd)