Suppose that g(x)=f (x-1)-5 which statement best compares the graph of g(x) with the graph of f(x)

Option A is correct.

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 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.

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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