Given parent function: f(x) = .
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,
Let us convert log to exponential form, we get
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.
<em>So, the given graph is being shifted 2 units right.</em>
<em>According to rule of transformations g(x) = f(x-k) shift k units right.</em>
<h3>Therefore, correct option is f(x − 2).</h3>