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MAS TOPIC 3 part 2 - Coggle Diagram

- - - - The graph 𝑓(𝑥)= 𝑎𝑥 passes though the point (0, 1) for all 𝑎 > 0, 𝑎 ≠ 1
      - If 𝑎 > 1, then as x increases, f(x) increases
  - - - e^x [+a]
        
        +
        
        Graph shift upwards
        
        -
        
        Graph shift downwards
        
        Asymptote moves up/down 1 unit
        
        Lower part of the graph is parallel to original graph
    - - e^[x+a]
        
        +
        
        Graph shift left
        
        -
        
        Graph shift right
      - Upper part of graph is parallel to the original graph
- - - - f(x) = log [k . x] can be rewritten as f(x) = log k + log x
        
        +
        
        Graph shift up
        
        -
        
        Graph shift down
        
        Asymptote does not move
    - - Both graph and asymptote move
        
        Asymptote moves 1 unit left/right
      - +
        
        Graph shifts to the left
      - -
        
        Graph shift to the right
      - y = log (x +/- 1)