Question

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

Answer 1

It should be
Pi/ 2 units to the left

Answer 2

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