Mathematics
Grade10
Easy

Question

Find the value of h for the given exponential function.

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

hintHint:

The exponential function had horizontal translation to the right.

The correct answer is: f open parentheses x close parentheses equals 3 to the power of x minus 1 end exponent


    The exponential function is translated 1 unit to the right.
    So, the exponential function had horizontal translation to the right.
    If h > 0, the graph of f open parentheses x close parentheses equals 2 to the power of x minus h end exponent shifts to the right.
    If h < 0, the graph shifts to the left.
    Hence, the value of k is 1.

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.