Suppose g(x) = f(x+1)+5. Which statement best compares the graph of g(x) with the graph of f(x)?

The  graph of g(x) = f(x-1)-5 is the graph of f(x) 1 units to the right and 5 units down.

Step-by-step explanation:

1. Shift graph functions y=f(x) to the left means that we will be adding inside the function

y= f(x+b)  , where b is constant

2. Shift to the right means that we will be subtracting inside the function

y= f(x-b)

3. To shift graph up units means that we would be adding outside the function:

y= f(x)+b

4. To shift the graph down some units means that we would be subtracting outside the function:

y= f(x)-b

Therefore, by the definition

The graph of g(x) = f(x-1)-5 is the graph of f(x) 1 units to the right and 5 units down.

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step-by-step explanation:

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