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The graph of g(x) is the graph of f(x)=x+6reflected across the x-axis.Which equation describes function g? g(x)=−x+6g(x)=−x−6g(x)=−6x−6g(x)=x−6

The Graph Of Gx Is The Graph Of Fxx6reflected Across The XaxisWhich Equation Describes Function G Gxx6gxx6gx6x6gxx6 class=

Sagot :

We are given the function

[tex]f(x)=x+6[/tex]

We are to reflect the function f(x) over the x axis

The rule to reflect a function over x axis is given as

[tex](x,y)\Rightarrow(x,-y)[/tex]

Let f(x) = y

Then

[tex]y=x+6[/tex]

Hence for the reflection

x = x, y = -y

Hence, the reflection is

[tex]-y=x+6[/tex]

Simplifying this we get

[tex]y=-x-6[/tex]

Thereforem the reflection g(x) is

[tex]g(x)=-x-6[/tex]

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