Question

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

Answer 1

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)

Answer 2

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.