The graph of which function has an amplitude of 3 and a right phase shift of ?

Answer:

The first one

Step-by-step explanation:

The amplitude is usually the first number (for example, in this equation, the 3). Then you also know that the right or left shift depends on the addition or subtraction sign. Usually, the subtraction sign means to the right and the addition sign means to the left.

We have that the graph of which function has an amplitude of 3 and a right phase shift of [tex]\phi= \frac{\pi}{4}[/tex]  is

[tex]3sin2(x+\phi)[/tex]

The Correct option is D

From the Question we are told that

A graph has

Amplitude of 3

Phase [tex]\phi= \frac{\pi}{4}[/tex]

Generally the equation for the Wave Equation  is mathematically given as

[tex]Asin(kx-wt+\phi)[/tex]

Therefore the Equation for this particular wave is

[tex]3sin2(x+\phi)[/tex]

Hence

The graph of which function has an amplitude of 3 and a right phase shift of [tex]\phi= \frac{\pi}{4}[/tex]  is

[tex]3sin2(x+\phi)[/tex]

The Correct option is D

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