Question

Which is the graph of y = cos(x − π)?​

Answer 1

Answer:

Graph 1.

Step-by-step explanation:

Th graph of $y=\cos{(x-\pi)}$ looks exactly like the graph of $y=\cos{x}$ if we shifted the axes $\pi$ units to the left. This has the visual effect of shifting the graph forward $\pit$$\pi$ units (imagine filming someone and panning the camera to the left; the person moves right in the camera frame).

So the point at $x=0$, which used to be $(0, \cos{0})=(0,1)$ is now $(0,\cos{(0-\pi)})=(0,\cos{(-\pi)})=(0,-1)$, which we can find on the first graph.

Answer 2

The graph of the cosine function is the first graph (counting from the left).

Which is the graph of y = cos(x − π)?​

This is rather easy to see.

We do know that cos(− π) = cos (π) = -1

In this case, where:

f(x) = y = cos(x − π)

We will have:

f(0) = cos( − π) = -1

So we only need to see which graph has a y-intercept equal to -1. By looking at the graphs we can see that the only one that meets this condition is the first graph (counting from the left). So that is the correct option.

If you want to learn more about cosines:

https://brainly.com/question/4372174

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