Which of the following is the graph of y=sin(4(x-pi))?

Question

asked Jun 10, 2019 195k views

2 Answers

Hmatar · Answer 1 · 2019-06-11T04:42:11+0000

Answer:

Graph A

Explanation:

We are given the graphs for the function
$y=\sin (4(x-\pi ))$ .

Now, if a function f(x) has period P, then the function a×f(bx+c)+d will have period
(P)/(|b|) .

Since, we can rewrite
$y=\sin (4(x-\pi ))$ as
$y=\sin (4x-4\pi)$ .

Also, the period of
$\sin x$ is
$2\pi$ , then period of
$y=\sin (4x-4\pi)$ is
$(2\pi)/(4)$ i.e.
$(\pi)/(2)$ .

Thus, we get that the graph of
$y=\sin (4(x-\pi ))$ will repeat after every
$(\pi)/(2)$ .

Hence, according to the options, graph A is the correct representation of the function
$y=\sin (4(x-\pi ))$ .