Describe the transformation that occurs on a graph when changing an equation from f(x)=−|x|

Question

to f(x)=−|x|+4
.(1 point)
Responses

The original function shifts horizontally to the left four units.
The original function shifts horizontally to the left four units.

The original function shifts vertically up four units.
The original function shifts vertically up four units.

The original function shifts vertically down four units.
The original function shifts vertically down four units.

The original function shifts horizontally to the right four units.

Answer 1

The transformation that occurs when changing the equation from \( f(x) = -|x| \) to \( f(x) = -|x| + 4 \) is that the original function shifts vertically up four units.

This can be seen because the "+4" at the end of the equation indicates a vertical shift upward. Therefore, the correct response is:

The original function shifts vertically up four units.