to f(x)=−|x|+4
.(1 point)
Responses
The original function shifts vertically down four units.
The original function shifts vertically down four units.
The original function shifts horizontally to the left four units.
The original function shifts horizontally to the left four units.
The original function shifts horizontally to the right four units.
The original function shifts horizontally to the right four units.
The original function shifts vertically up four units.
1 answer
The correct response is:
The original function shifts vertically up four units.
When you add a constant (in this case, +4) to the function \( f(x) = -|x| \), it shifts the entire graph vertically. Adding 4 means that every point on the graph of the original function moves up by 4 units.
