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

g(x) = −4(2)x
g(x) = 4(2)−x
g(x) = −4(one-half) superscript x
g(x) = 4(one-half) superscript negative x
g(x) = −4(one-half) superscript x

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 .

Therefore, on reflection across the x-axis it will generate a new function i.e.

Therefore, option C will be correct. (Answer)

C.

Step-by-step explanation:

Just got it right on edge 2020

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.