Mathematics
Grade10
Easy

Question

Identify the function that represents the translated exponential function.

  1. f open parentheses x close parentheses equals 2 to the power of x end exponent plus 4    
  2. f open parentheses x close parentheses equals 2 to the power of x end exponent    
  3. f open parentheses x close parentheses equals 2 to the power of x minus 4 end exponent    
  4. f open parentheses x close parentheses equals 2 to the power of x plus 4 end exponent    

Hint:

Since the parent function is translated by 4 units to up, it is a vertical translation.

The correct answer is: f open parentheses x close parentheses equals 2 to the power of x end exponent plus 4


    Since the parent function is translated by 4 units to up, it is a vertical translation.
    The graph of f left parenthesis x right parenthesis equals 2 to the power of x end exponent plus k is a vertical translation of the graph of f left parenthesis x right parenthesis equals 2 to the power of x end exponent.
    If k > 0, the graph is moved up.
    Since the graph is translated up, the value of k will be 4.
    Therefore the answer is f left parenthesis x right parenthesis equals 2 to the power of x plus 4

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