Select the statement that is true for the graphs of ALL functions g(x) A. The graph of g(x+1) is the graph of g(x) shifted up 1 unit. B. The graph of g(x+1) is the graph of g(x) shifted right 1 unit. C. The graph of g(x+1) is the graph of g(x) shifted down 1 unit. D. The graph of g(x+1) is the graph of g(x) shifted left 1 unit.

The correct answer is B. The graph of $g(x+1)$ is the graph of $g(x)$ shifted left 1 unit.<br /><br />Explanation:<br />When we replace $x$ with $x+1$ in the function $g(x)$, it results in a horizontal shift of the graph. Specifically, the graph of $g(x+1)$ is the graph of $g(x)$ shifted left by 1 unit. This is because the input values are effectively shifted 1 unit to the left, causing the entire graph to shift left as well.<br /><br />The other options are incorrect:<br />A. The graph of $g(x+1)$ is not shifted up 1 unit.<br />C. The graph of $g(x+1)$ is not shifted down 1 unit.<br />D. The graph of $g(x+1)$ is not shifted right 1 unit.