The graph of y= sin (x-3pi/2) is the graph of the y = sin(x) shifted in which direction?

Question

asked Feb 8, 2020 203k views

2 Answers

Ankush Shah · Answer 1 · 2020-02-14T08:58:35+0000

Answer:

$y=\sin(x-(3\pi)/(2))$ is the graph of
$y=\sin x$ shifted to the right by
$(3\pi)/(2)$ units.

Explanation:

The given function is

$y=\sin(x-(3\pi)/(2))$

The base function of this trigonometric function is
$y=\sin x$

In general, the transformation
$y=\sin(x-k)$ will shift the graph of the base function,
$y=\sin x$ , k units to the right.

Therefore,
$y=\sin(x-(3\pi)/(2))$ is the graph of
$y=\sin x$ shifted to the right by
$(3\pi)/(2)$ units.