Given the function f(x) = 32 determine the equation of a new function, g(x), that is reflected over the x-axis and then shifted 2 units up.

Given the function fx 32 determine the equation of a new function gx that is reflected over the xaxis and then shifted 2 units up class=

Respuesta :

[tex]f(x)=3^x[/tex]

Reflect over the x-axis:

[tex]-f(x)=-3^x[/tex]

Shift 2 units up:

[tex]\begin{gathered} g(x)=-f(x)+2=-3^x+2 \\ g(x)=-3^x+2 \end{gathered}[/tex]

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