Question

Which function's graph is shown below? ད་ལྟ་བ་དང་ o = A. Y = COS X O B. y = -cos x C. y = sin x OD. y = -sin

Answer 1

Given:

Consider the given graph in figure.

To find:

Select the correct option that shows the given function's graph.

Explanation:

Here, graph is in the form of,

$y=acos(bx)$

Where, a is amplitude and the period of a cosine function is the length of the shortest interval on the x axis over which the graph repeats.

$\text{ period =}\frac{2\pi}{|b|}$

Here, at x = 0, the y value is 1. so, the graph starts at (0, 1) which indicates the graph of

$y=cosx$

Consider the below graph:

So, the correct option is (A) y = cosx.

Final answer:

Hence, the required correct option is (A) y = cos