Mathematics
Grade10
Easy

Question

p open parentheses x close parentheses equals 6 to the power of x end exponent is translated 5 units to the right.
Identify the asymptote of the translated exponential function.

  1. y = - 3    
  2. y = 6    
  3. x = - 3    
  4. y = 0    

Hint:

We know that,  p open parentheses x close parentheses equals 6 to the power of x minus 5 end exponent is the horizontal translation of p open parentheses x close parentheses equals 6 to the power of x end exponent by 5 units to the right. The asymptote of the function p open parentheses x close parentheses equals 6 to the power of x end exponent is y = 0. The asymptote, y = 0, remains unchanged. So now we can now determine the asymptote.

The correct answer is: y = 0


    p open parentheses x close parentheses equals 6 to the power of x minus 5 end exponent is the horizontal translation of p open parentheses x close parentheses equals 6 to the power of x end exponent by 5 units to the right.
    The asymptote of the function p open parentheses x close parentheses equals 6 to the power of x end exponent is y = 0.
    The asymptote, y = 0, remains unchanged.
    So, the asymptote of p open parentheses x close parentheses equals 6 to the power of x minus 5 end exponent is also y = 0.

    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.