Mathematics
Grade10
Easy

Question

The exponential function g open parentheses x close parentheses equals 2 to the power of x minus 1 end exponent is _____ units to the _____ of the parent function f open parentheses x close parentheses equals 2 to the power of x end exponent.

  1. 2 units, left    
  2. 1 unit, left    
  3. 2 units, right    
  4. 1 unit, right    

Hint:

Here, g(x)=2 to the power of x minus h end exponent is the translation of the parent function f(x)=2 to the power of x. If h > 0, the graph is translated to the right by h units i.e., the graph will move to right by h units. If hless than0, the graph is translated to the left by h units. i.e., the graph will move to left by h units.

The correct answer is: 1 unit, right


    g(x)=2 to the power of x minus h end exponent is the translation of the parent function f(x)=2 to the power of x
    If h > 0, the graph is translated to the right by h units.
    If hless than0, the graph is translated to the left by h units.

    The graph of g open parentheses x close parentheses equals 2 to the power of x minus 1 end exponent is 1 unit to the right of f open parentheses x close parentheses equals 2 to the power of x end exponent.

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