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

User Jjmirks
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2 Answers

4 votes
shifted to the left by pi/2
User Euan Smith
by
8.7k points
2 votes

Answer:

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)).

User Morksinaanab
by
8.0k points

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