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
Reflects the function across the x-axis

Reflects the function across the y-axis
Reflects the function across the y-axis

Answer 1

The correct response is:

Shifts the function up or down

When you add a constant \( k \) to a function \( f(x) \), the entire graph of the function shifts vertically by \( k \) units. If \( k \) is positive, the function shifts upward; if \( k \) is negative, the function shifts downward.