What is the effect on the graph of the function f(x) = \x{ when f(x) is changed to f(x) – 7?
A)
shifts right by 7 units
B)
shifts left by 7 units
shifts up by 7 units
D)
shifts down by 7 units
A change to the outside of the function notation is always an up/down or vertical change to the graph.
Answer: D
Subtracting 7 shifts the graph down by 7 units. Outside changes do what you'd expect them to do, because that change is happening after you've evaluated the function.
PS
A change inside the f(x) notation is a left/right or horizontal change to the graph and is usually opposite from what you'd expect.
