Suppose y=f(x)+k . What effect does k have on the parent function?

Question

(1 point)
Responses

Shifts the function up or down
Shifts the function up or down

Shifts the function left or right
Shifts the function left or right

Reflects the function across the x-axis

Answer 1

The correct response is:

Shifts the function up or down.

In the equation \(y = f(x) + k\), the constant \(k\) affects the vertical position of the graph of the function \(f(x)\). If \(k\) is positive, the graph shifts upward; if \(k\) is negative, the graph shifts downward.