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What transformation has changed the parent function f(x) = log3x to its new appearance shown in the graph below? logarithmic graph passing through point 3, 0. f(x − 2) f(x + 2) f(x) − 2 f(x) + 2

What transformation has changed the parent function fx log3x to its new appearance shown in the graph below logarithmic graph passing through point 3 0 fx 2 fx class=

Respuesta :

Given parent function: f(x) = [tex]log_3 x[/tex].

Let us find the x-intercept of the given parent function.

In order to find the x-intercept, we need to set given function equal to 0 and solve for x.

Therefore,

[tex]log_3 x =0[/tex]

Let us convert log to exponential form, we get

[tex]3^0 = x[/tex]

Power 0 of anything is 1.

Therefore, x=1.

So, the x-intercept of parent function is 1.

And x-intercept of the given graph is 3.

So, the given graph is being shifted 2 units right.

According to rule of transformations g(x) = f(x-k) shift k units right.

Therefore, correct option is  f(x − 2).

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