1. Turn homework into the box- staple together and make sure both names are on sheet!! Sckett

2. Transformation of Functions

3. Linear Function f(x) = x

4. The squaring function

5. The absolute value function Absolute value- distance from zero for order of operations works like ( )

6. The cubing function

7. Vertical shifts up or down Vertical Translation ( ) outside y = x+ b shifted up b units; y = x  b shifted down b units.

8. Horizontal shifts left or right Horizontal Translation (inside) BACKWARDS y = (x  d) shifted right d units; y = (x + d) shifted left d units.

9. Use the basic graph to sketch the following:

10. Combining a vertical & horizontal shift Example of function that is shifted down 4 units and right 6 units from the original function.

11. Parent Functions y = /x/ y = x y = x 2 y = x 3

12. Vertical shifts ( ) ± outside ( ) + up ( ) - down Horizontal shifts (±inside ) ( + left ) ( - right)

13. Reflections The graph of  f(x) is the reflection of the graph of f(x) across the x-axis. (fold at x axis- flips it up and down)

14. Use the basic graph to sketch the following:

15. Vertical Stretching and Shrinking The graph of af(x) can be obtained from the graph of f(x) by stretching vertically for |a| > 1, or skinner shrinking vertically for 0 < |a| < 1. fatter Multiply outside of ()

16. VERTICAL STRETCH (SHRINK)

17. Horizontal Stretching or Shrinking The graph of y = (cx) shrinking horizontally for |c| > 1, or skinner stretching horizontally for 0< |c|< 1. fatter Multiply inside of ()

18. 18 Which Way Will You Shift? 1. f(x) + a 2. f(x - a) 3. f(x)*a 4. f(x + a) 5. f(x) - a A) shift down a units B) shift right a units C) shift left a units D) shift up a units E) turn upside down F) none of these Matching -- match the letter of the list on the right with the function on the left.

19. Horizontal stretch & shrink

20. CHEAT SHEET y = 3/2x + 1/ + 4 –Left 1 –Shrinking horizontal by 2 –Stretching vertical by 3 –Up 4 y = -3/-2x -1/ - 4 Right 1 Stretching's horizontal by 2 Shrinking vertical by 3 Down 4