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Graph $y=\sin{x}-2$ on the domain $[0,2\pi]$

This is a sample math problem in preparation for the entrance exam for the

Even not asked I thot also the Period, Amplitude, PS and list some observations that should be know to graph without an app

1. we know that sin(0)=0 so sin(x) goes thru origin

$Y_{sin}=A\sin\left[\omega\left(x-\dfrac{\phi}{\omega} \right) \right]+B

\implies A\sin\left(\omega x-\phi \right)+B$

A=Amplitude B=Vertical Shift

T=Period= $\quad\dfrac{2\pi}{\omega}$

PS=Phase Shift $\quad\dfrac{\phi}{\omega}$

ok this get ? at times

and,,,,,

This is a sample math problem in preparation for the entrance exam for the

**USAF Academy**Even not asked I thot also the Period, Amplitude, PS and list some observations that should be know to graph without an app

1. we know that sin(0)=0 so sin(x) goes thru origin

$Y_{sin}=A\sin\left[\omega\left(x-\dfrac{\phi}{\omega} \right) \right]+B

\implies A\sin\left(\omega x-\phi \right)+B$

A=Amplitude B=Vertical Shift

T=Period= $\quad\dfrac{2\pi}{\omega}$

PS=Phase Shift $\quad\dfrac{\phi}{\omega}$

ok this get ? at times

and,,,,,

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