The graph of y = cosine (x + StartFraction pi Over 2 EndFraction) is the graph of the y = cos(x) shifted in which direction?
StartFraction pi Over 2 EndFraction units to the left
StartFraction pi Over 2 EndFraction units to the right
StartFraction pi Over 2 EndFraction units up
StartFraction pi Over 2 EndFraction units down

Respuesta :

Answer:

pi/2 units to the left

Step-by-step explanation:

The Phase Shift of a periodic function is the horizontal shift of the function from its normal position. The graph will be shifted by (π/2) units to the left.

What is phase shift?

The Phase Shift of a periodic function is the horizontal shift of the function from its normal position. The shift is either left or right.

For example, if the value of c in the function of sine is negative then the function will move towards the right side by the value of c, while if the value of c is positive then the function will towards the left.

The function y=cos(x) is a periodic function, while when the function is transformed to y=cos(x+ π/2), the phase shift of the function will be +(π/2) and that will be in the left direction from the normal position. Therefore, the graph will be shifted by (π/2) units to the left.

Learn more about Phase shift:

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