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Consider the function y = -2 - cos(x-pi). What effect does pi have on the basic graph?

User Hemantvsn
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2 Answers

1 vote

Answer:

shift the graph right by pi

Explanation:

anything attached to the x variable in a trig function will shift the graph horizontally (in this case, by pi to the right)

User Alav
by
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6 votes

Answer:

The effect of
\pi on the graph is it shift the graph horizontally.

Explanation:

Given : Function
y=-2-\cos(x-\pi)

To find : What effect
\pi does have on the basic graph?

Solution :

Consider the parent function
y=\cos x

The graph get transformed into
y=-2-\cos(x-\pi)

When there is a change in the x value then horizontal shift happened.

The general form of cosine is
f(x)=A\cos(B(x-C))+D

The horizontal shift in this function is C.

Similarly, If we applied in
y=-2-\cos(x-\pi) then there is a horizontal shift of
\pi

Therefore, The effect of
\pi on the graph is it shift the graph horizontally.

User Assen Kolov
by
8.6k points

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