Describe the transformation that occurs on a graph when changing an equation from f(x)=−|x| to f(x)=−|x|+4.(1 point)

Question

Responses

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

Answer 1

The correct response is:

The original function shifts vertically up four units.

When you change the equation from \( f(x) = -|x| \) to \( f(x) = -|x| + 4 \), you are adding 4 to the entire function, which results in a vertical shift of the graph upward by 4 units.