Answered

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Which function represents g(x), a reflection of f(x) = 4
across the x-axis?
O g(x) = -4(2)*
g(x) = 4(2)-*
g(x) = -4
g(x) = 4*

100 2 4 54324 1 2345 3 900 4 Which Function Represents Gx A Reflection Of Fx 4 Across The Xaxis O Gx 42 Gx 42 Gx 4 Gx 4 class=

Sagot :

Using translation concepts, the function that represents g(x) is given by:

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

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Function f(x) is given by:

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

Function g(x) is a reflection of g(x) over the x-axis, that is, is is multiplied by -1, hence:

[tex]g(x) = -f(x) = -4\left(\frac{1}{2}\right)^x[/tex]

More can be learned about translation concepts at https://brainly.com/question/4521517

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