Question

Identify the correct graph of the function $f\left(x\right)=-2\cos x+1.$

• A.
• B.
• C.
• D. None of the above

Answer 1

The correct option is B

Given $f\left(x\right)=-2\cos x+1$
Now, the graph of $\cos x$ is shown as:

Now, flipping the graph along $x-$ axis we get the graph of $-\cos x$ as:

Now, stretching the graph of $\cos x$ horizontally 2 times we get the graph of $-2\cos x$ as:

Now, shitfing the graph vertically upwards by 1 units will give the graph of $-2\cos x+1$ as shown:

And this graph matches perfectly with the graph given in option c.
Hence, Option (c) is the corret answer.