Question

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

Answer 1

Answer:

Shifted to left by $\frac{\pi}{2}$ units.

Step-by-step explanation:

We are asked to find the graph of $y=\text{cos}(x+\frac{\pi}{2})$ 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 $\frac{\pi}{2}$ units to get the graph of $y=\text{cos}(x+\frac{\pi}{2})$.

Answer 2

Shifted to the left by pi/2