Shifting Scaling Shifting and Scaling functions Activity 1

Shifting & Scaling

Shifting and Scaling functions

Activity 1 Activity A Activity B Activity C Activity D Activity E Activity F Activity G Page 31 Page 32 Page 33 Page 34

-3 9 (-3, 9) -3 27 (-3, 27) -2 4 (-2, 4) -2 12 (-2, 12) -1 1 (-1, 1) -1 3 (-1, 3) 0 0 (0, 0) 1 1 (1, 1) 1 3 (1, 3) 2 4 (2, 4) 2 12 (2, 12) 3 9 (3, 9) 3 27 (3, 27) -3 18 (-3, 18) -3 4. 5 (-3, 4. 5) -2 8 (-2, 8) -2 2 (-2, 2) -1 2 (-1, 2) -1 0. 5 (-1, 0. 5) 0 0 (0, 0) 1 2 (1, 2) 1 0. 5 (1, 0. 5) 2 8 (2, 8) 2 2 (2, 2) 3 18 (3, 18) 3 4. 5 (3, 4. 5) 31

-3 9 (-3, 9) -3 -27 (-3, -27) -2 4 (-2, 4) -2 -12 (-2, -12) -1 1 (-1, 1) -1 -3 (-1, -3) 0 0 (0, 0) 1 1 (1, 1) 1 -3 (1, -3) 2 4 (2, 4) 2 -12 (2, -12) 3 9 (3, 9) 3 -27 (3, -27) -3 -9 (-3, -9) -3 -4 -5 (-3, -4. 5) -2 -4 (-2, -4) -2 -2 (-2, -2) -1 -1 (-1, -1) -1 -0. 5 (-1, -0. 5) 0 0 (0, 0) 1 -1 (1, -1) 1 -0. 5 (1, -0. 5) 2 -4 (2, -4) 2 -2 (2, -2) 3 -9 (3, -9) 3 -4. 5 (3, -4. 5) 31

-3 9 (-3, 9) -3 12 (-3, 12) -2 4 (-2, 4) -2 7 (-2, 7) -1 1 (-1, 1) -1 4 (-1, 4) 0 0 (0, 0) 0 3 (0, 3) 1 1 (1, 1) 1 4 (1, 4) 2 4 (2, 4) 2 7 (2, 7) 3 9 (3, 9) 3 12 (3, 12) -3 10 (-3, 10) -3 5 (-3, 5) -2 5 (-2, 5) -2 0 (-2, 0) -1 2 (-1, 2) -1 -3 (-1, -3) 0 1 (0, 1) 0 -4 (0, -4) 1 2 (1, 2) 1 -3 (1, -3) 2 5 (2, 5) 2 0 (2, 0) 3 10 (3, 10) 3 5 (3, 5) 32

-3 9 (-3, 9) -3 -6 (-3, -6) -2 4 (-2, 4) -2 -1 (-2, -1) -1 1 (-1, 1) -1 2 (-1, 2) 0 0 (0, 0) 0 3 (0, 3) 1 1 (1, 1) 1 2 (1, 2) 2 4 (2, 4) 2 -1 (2, -1) 3 9 (3, 9) 3 -6 (3, -6) -3 -8 (-3, -8) -3 -13 (-3, -13) -2 -3 (-2, -3) -2 -8 (-2, -8) -1 0 (-1, 0) -1 --5 (-1, -5) 0 1 (0, 1) 0 -4 (0, -4) 1 0 (1, 0) 1 -5 (1, -5) 2 -3 (2, -3) 2 -8 (2, -8) 3 -8 (3, -8) 3 -13 (3, -13) 32

-3 9 (-3, 9) -6 0 (-6, 9) -2 4 (-2, 4) -5 1 (-5, 4) -1 1 (-1, 1) -4 4 (-4, 1) 0 0 (0, 0) -3 9 (-3, 0) 1 1 (1, 1) -2 16 (-2, 1) 2 4 (2, 4) -1 25 (-1, 4) 3 9 (3, 9) 0 36 (0, 9) -4 9 (-4, 9) -3 6. 25 (-3, 6. 25) -3 4 (-3, 4) -2 2. 25 (-2, 2. 25) -2 1 (-2, 1) -1 0. 25 (-1, 0. 25) -1 0 (-1. 0) 0 0. 25 (0, 0. 25) 0 1 (0, 1) 1 2. 25 (1, 2. 25) 1 4 (1, 4) 2 6. 25 (2, 6. 25) 2 9 (2, 9) 3 12. 25 (3, 12. 25) 33

-3 9 (-3, 9) 0 9 (0, 9) -2 4 (-2, 4) 1 4 (1, 4) -1 1 (-1, 1) 2 1 (2, 1) 0 0 (0, 0) 3 0 (3, 0) 1 1 (1, 1) 4 1 (4, 1) 2 4 (2, 4) 5 4 (5, 4) 3 9 (3, 9) 6 9 (6, 9) -2 9 (-3, 9) -3 12. 25 (-3, 12. 25) -1 4 (-2, 4) -2 6. 25 (-2, 6. 25) 0 1 (-1, 1) -1 2. 25 (-1, 2. 25) 1 0 (0, 0) 0 0. 25 (0, 0. 25) 2 1 (1, 1) 1 0. 25 (1, 0. 25) 3 4 (2, 4) 2 2. 25 (2, 2. 25) 4 9 (3, 9) 3 6. 25 (3, 6. 25) 33

-3 9 (-3, 9) -4 11 (-4, 11) -2 4 (-2, 4) -3 6 (-3, 6) -1 1 (-1, 1) -2 3 (-2, 3) 0 0 (0, 0) -1 2 (-1, 2) 1 1 (1, 1) 0 3 (0, 3) 2 4 (2, 4) 1 6 (1, 6) 3 9 (3, 9) 2 11 (2, 11) -4 9 (-4, 9) -4 7 (-4, 7) -3 4 (-3, 4) -3 2 (-3, 2) -2 1 (-2, 1) -2 -1 (-2, -1) -1 0 (-1, 0) -1 -2 (-1, -2) 0 1 (0, 1) 0 -1 (0, -1) 1 4 (1, 4) 1 2 (1, 2) 2 9 (2, 9) 2 7 (2, 7) 34

Activity 2 Graph Function Local Maximum/Minimum 1 Local min (0, 0) 2 Local min (0, 0) 3 Local max(0, 0) 4 Local min (0, 3) 5 Local min (0, -1) 6 Local max (0, -1) 7 Local max (0, 3) 8 Local min (-1, 0) 9 Local min (3, 0) 10 Local min (-1, 2) 35

Activity 2 Graph Function Local Maximum/Minimum 1 11 Local min (0, 1) 12 Local min (0, 0) 13 Local min (2, 0) 14 Local max (0, 0) 15 Local max (0, -1) 16 Local min (-3, -2) 17 Local min (2, 3) 18 19 20 35

Activity 3 Which is the best format? Can we change from one format to the other and back again? 36

Activity 3 -2 7 (-2, 7) -1 0 (-1, 0) 0 -5 (-1, 5) 1 -8 (1, -8) 2 -9 (2, 9) 3 -8 (3, -8) 4 -5 (4, -5) 5 0 (5, 0) 6 7 (6, 7) 4. What items of information from each of the functions can help us if sketching the graph of a function? 36

Activity 4 Graph Matching

Graph Matching Activity 4 Solutions F S CS TP I R G F 5 S 5 V 3 TP 3 Local min at (1, -9) Y 3 R 2 G 1 F 1 S 3 V 6 TP 6 Local min at (3, 0) Y 1 R 5 G 2 F 3 S 1 V 4 TP 1 Local max at (1, 4) Y 5 R 1 G 3 F 2 S 2 V 5 TP 4 Local min at (-3, -1) Y 2 R 6 G 4 F 6 S 4 V 1 TP 2 Local min at (5, -1) Y 6 R 4 G 5 F 4 S 6 V 2 TP 1 Local max at (4, 4) Y 4 R 3 G 6