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    Mathematics
    Grade10
    Easy

    Question

    p open parentheses x close parentheses equals 3 to the power of x end exponent is translated 5 units above.
    Identify the asymptote of the translated exponential function.

    1. y = - 3    
    2. y = 6    
    3. x = - 3    
    4. y = 5    

    hintHint:

    The y - intercept shifts up 5 units to (0, 6)

    The correct answer is: y = 5

      The y - intercept of the parent function p open parentheses x close parentheses equals 3 to the power of x end exponent is (0, 1).
      Here, the parent function is translated vertically.
      The equation of translated exponential function is 3 to the power of x end exponent plus 5.
      The y - intercept shifts up 5 units to (0, 6). And the asymptote is y = 5.

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