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
Answer....C g(x) = −4(one-half) Superscript x

Respuesta :

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 [tex]f(x) = 4(\frac{1}{2} )^{x}[/tex].

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

Therefore, option C will be correct. (Answer)

Answer:

C. [tex]g (x) = -4 (\frac{1}{2} )^{x}[/tex]

Step-by-step explanation:

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