Writting the equation of a sine and cosine graph

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Question 1:
1 pts
Which graph is sketched in the given image.

$2 \sin 2x$

$\sin x$

$2\cos x$

$\cos 2x$
Question 2:
2 pts
Which graph is sketched in the given image.

$y=$
Question 3:
1 pts
An equation for a sine that has an amplitude of $4$ and a period of $\pi$ is $y=4\sin (2x).$
Question 4:
1 pts
An equation for a cosine that has an amplitude of $5$ and a period of $\dfrac{2\pi}{3}$ is $y=3\cos (5x).$
Question 5:
2 pts
Which graph is sketched in the given image.

$f(x)=$
Question 6:
2 pts
Which graph is sketched in the given image.

$f(x)=$
Question 7:
2 pts
Which graph is sketched in the given image.

$\cos\left( x+ \dfrac{\pi}{4} \right)$

$2\cos\left( x+ \dfrac{\pi}{4} \right)$

$\cos\left( x- \dfrac{\pi}{4} \right)$

$2\cos\left( x- \dfrac{\pi}{4} \right)$
Question 8:
2 pts
Which graph is sketched in the given image.

$y=3\sin (x+4)$

$y=\sin (3x)+4$

$y=\sin (3x+4)$

$y=3\sin x+4$
Question 9:
3 pts
Which graph is sketched in the given image.

$f(x)=$
Question 10:
3 pts
Which graph is sketched in the given image.

$f(x)=$
Question 11:
3 pts
Which graph is sketched in the given image.
Question 12:
3 pts
Which graph is sketched in the given image.

$\cos \left(\dfrac{x}{3}\right)+1$

$2\cos \left(\dfrac{x}{3}\right)+1$

$2\cos \left(\dfrac{x}{3}\right)$

$\cos \left(\dfrac{x}{3}\right)$

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