Question Describe the transformation that occurs on a graph when changing an equation from f(x)=−|x| to f(x)=−|x|+4 .(1 point) Responses 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 left four units. The original function shifts horizontally to the left four units. The original function shifts horizontally to the right four units.
1 answer
When changing the equation from \( f(x) = -|x| \) to \( f(x) = -|x| + 4 \), the transformation that occurs is a vertical shift. Specifically, the entire graph of the original function \( f(x) = -|x| \) shifts vertically up by 4 units.
So, the correct response is: The original function shifts vertically up four units.
