Answer:
Shifted to left by [tex]\frac{\pi}{2}[/tex] units.
Step-by-step explanation:
We are asked to find the graph of [tex]y=\text{cos}(x+\frac{\pi}{2})[/tex] is the graph of the [tex]y=\text{cos}(x)[/tex] shifted in which direction.
Let us recall transformation rules.
[tex]f(x)\rightarrow f(x-a)=\text{Graph shifted to the right by a units}[/tex]
[tex]f(x)\rightarrow f(x+a)=\text{Graph shifted to the left by a units}[/tex]
Upon looking at our given graph, we can see that the graph of [tex]y=\text{cos}(x)[/tex] is shifted to the left by [tex]\frac{\pi}{2}[/tex] units to get the graph of [tex]y=\text{cos}(x+\frac{\pi}{2})[/tex].
