Question

Which function represents g(x), a reflection of f(x) = 4(one-half) Superscript x across the x-axis?

Answer 1

Answer:

Option C will be correct.

Step-by-step explanation:

If a function y = f(x) is reflected across the x-axis, then the equation of the reflected function will be a new function y = - f(x) = g(x).

Therefore, on reflection across the x-axis, the y-values of the function just alter its sign corresponding to the same x-values.  

Now, the given function is $f(x) = 4(\frac{1}{2} )^{x}$.

Therefore, on reflection across the x-axis it will generate a new function i.e. $g(x) = - 4(\frac{1}{2} )^{x}$

Therefore, option C will be correct. (Answer)