Answer:
g(x) = x - 7 answer D
Step-by-step explanation:
When you shift the function vertically up or down you must change the value of y where y = f(x).
So the graph shifted 7 units down then you will subtract 7 from y
∴ The new function will be f(x) - 7
∴ g(x) = x - 7
Note:
1- If the graph shifted up you will add the value to f(x)
2- If the graph shifted horizontally left or right you will add or subtract the value to the x
Ex: If f(x) = x shifted to the right 3 units then g(x) = f(x + 3) = x + 3
If shifted to the left 3 units then g(x) = f(x - 3) = x - 3
