Question

The graph of y=cos(x+pi/2) is the graph of the y = cos(x) shifted in which direction?

Answer 1

shifted to the left by pi/2

Answer 2

Shifted to left by
`(\pi)/(2)` units.

Explanation:

We are asked to find the graph of
`y=\text{cos}(x+(\pi)/(2))` is the graph of the
`y=\text{cos}(x)` shifted in which direction.

Let us recall transformation rules.

`f(x)\rightarrow f(x-a)=\text{Graph shifted to the right by a units}`

`f(x)\rightarrow f(x+a)=\text{Graph shifted to the left by a units}`

Upon looking at our given graph, we can see that the graph of
`y=\text{cos}(x)` is shifted to the left by
`(\pi)/(2)` units to get the graph of
`y=\text{cos}(x+(\pi)/(2))`.