The graph of is the graph of the y = cos(x) shifted in which direction?

Question

asked Jul 9, 2019 44.1k views

2 Answers

Bert Bristow · Answer 1 · 2019-07-12T20:16:52+0000

Answer:

The correct answer is A

Explanation:

The parent function is
$y=\cos(x)$ .

The possible transformations to this function are

$f(x)=A\cos(Bx+C)+D$

The value of A is the amplitude.

When
(C)/(B) is negative, the graph of the parent functions shifts to the right horizontally
(C)/(B) units.

When
(C)/(B) is positive, the graph of the parent functions shifts to the left horizontally
(C)/(B) units.

A positive value of D translates the graph vertically up D units.

A negative value of D translates the graph vertically down D units.

$y=\cos(x+(\pi)/(2))$ will shift the graph to the left
$(\pi)/(2)$ units,

The correct answer is A