Question

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

Answer 1

its A

coz f(0) occurs at f(1-1) which means f(x-1) is obtained by displacing f(x) by 1 unit to right.

-5 will cause it to go down by 5 units

Answer 2

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.

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.