Answer:
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.
