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.

Question

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.

Answer 1

The correct answer is B. The graph of

is the graph of

shifted left 1 unit.Explanation:When we replace

with

in the function

, it results in a horizontal shift of the graph. Specifically, the graph of

is the graph of

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.The other options are incorrect:A. The graph of

is not shifted up 1 unit.C. The graph of

is not shifted down 1 unit.D. The graph of

is not shifted right 1 unit.

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