Mathematics
Grade10
Easy

Question

How far is the exponential function from the parent function?

  1. 5 units    
  2. 6 units    
  3. 10 units    
  4. 2 units    

hintHint:

When the graph of the function f open parentheses x close parentheses equals a to the power of x end exponent is translated horizontally, the exponential function will be a to the power of x minus h end exponent.

The correct answer is: 6 units


    When the graph of the function f open parentheses x close parentheses equals a to the power of x end exponent is translated horizontally, the exponential function will be a to the power of x minus h end exponent.
    If h > 0, the parent function is shifted to the right.
    If h < 0, the parent function is shifted to the left.
    The function f open parentheses x close parentheses equals 2 to the power of x end exponent becomes 2 to the power of x plus 6 end exponent when translated by 6 units to the left.

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