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

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

Answer 1

When changing the equation from \( f(x) = -|x| \) to \( f(x) = -|x| + 4 \), the transformation that occurs is a vertical shift.

Specifically, the original function shifts vertically up four units.

So, the correct response is:

The original function shifts vertically up four units.