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Writting the equation of a sine and cosine graph
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.
$y=$
$2 \sin 2x$
$\sin x$
$2\cos x$
$\cos 2x$
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.
$f(x)=$
$\cos \left(\dfrac{1}{2}x\right)$
$\dfrac {1}{2} \cos x$
$\dfrac {1}{2} \cos 2 x$
$2\cos \left(\dfrac{1}{2} x \right)$
Question 6:
2 pts
Which graph is sketched in the given image.
$f(x)=$
$\cos \left(\dfrac{1}{2}x\right)$
$\dfrac {1}{2} \cos x$
$\dfrac {1}{2} \cos 2 x$
$2\cos \left(\dfrac{1}{2} x \right)$
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.
$f(x)=$
$2\sin\left(2x-\dfrac{\pi}{3}\right)$
$-2\sin\left(2x-\dfrac{\pi}{3}\right)$
$-2\sin\left(2x+\dfrac{\pi}{3}\right)$
$2\sin\left(2x+\dfrac{\pi}{3}\right)$
Question 10:
3 pts
Which graph is sketched in the given image.
$f(x)=$
$3\sin(\pi x)$
$\sin(2\pi x)$
$3\sin(2 x)$
$3\sin(2\pi x)$
Question 11:
3 pts
Which graph is sketched in the given image.
$\sin (2|x|)$
$\sin (|x|)$
$2\sin (|x|)$
$|\sin x|$
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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