Question

Describe how the graph of the function f(x)=sin(x−π6)
differs from the graph of sinx
.(1 point)

It shifts the graph of sinx
to the left by π6
units.

It shifts the graph of sinx
up by π6
units.

It shifts the graph of sinx
down by π6
units.

It shifts the graph of sinx
to the right by π6
units.

Answer 1

It shifts the graph of sin x to the right by π/6 units.

Reason: replacing x with x − π/6 produces a horizontal shift right by π/6 (sin(x − c) is sin x shifted right c).