Write an Equation for the Graph Given $\log _ { 2 } ( x - 1 ) + 1$

Multiple Choice

Write an equation for the graph given. The graph represents an logarithmic function f with base 2 or 3, translated and/or
reflected.
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A) $\log _ { 2 } ( x - 1 ) + 1$
B) $\log _ { 2 } ( x + 1 ) + 1$
C) $\log _ { 2 } ( x + 1 ) - 1$
D) $\log _ { 2 } ( x - 1 ) - 1$