Practice Quiz Trig Graphing

Which is the period of $y=3\cos x$  ?

• 1

•  $2\pi$  

• 3

•  $\pi$  

Tags

CCSS.HSF.TF.A.4

Which is the period of $y=2\sin3x$  ?

• 2

•  $2\pi$  

• 3

•  $\frac{2\pi}{3}$  

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Which equation is represented in the given graph?

• $y=\cos\left(\frac{1}{2}x\right)$

• $y=\cos\left(\frac{\pi}{2}x\right)$

• $y=\cos\left(x\right)$

• $y=\sin\left(\frac{1}{2}x\right)$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Which equation is represented in the given graph?

• $y=-\cos\left(2\pi x\right)$

• $y=-2\cos\left(x\right)$

• $y=-2\sin\left(x\right)$

• $y=-2\cos\left(\frac{1}{2}x\right)$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Which equation has a vertical displacement of 3?

• $y=\sin\left(3x\right)$

• $y=3\sin\left(x\right)$

• $y=\sin\left(x\right)+3$

• $y=\sin\left(x-3\right)$

Tags

CCSS.HSF.BF.B.3

Which equation has a phase shift of 3?

• $y=\sin\left(3x\right)$

• $y=3\sin\left(x\right)$

• $y=\sin\left(x\right)+3$

• $y=\sin\left(x-3\right)$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.TF.B.5

Which equation has an amplitude of 3?

• $y=\sin\left(3x\right)$

• $y=3\sin\left(x\right)$

• $y=\sin\left(x\right)+3$

• $y=\sin\left(x-3\right)$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.TF.B.5

Which equation has a period of  $\frac{\pi}{2}$  ?

•  $y=1+\cos\left(\frac{\pi}{2}x-4\right)$  

•  $y=2\cos\left(x+\pi\right)-2$  

•  $y=1+3\sin\left(2x-\frac{\pi}{2}\right)$  

•  $y=2+\sin\left(4x+\frac{\pi}{2}\right)$  

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Which equation has a period of  $\pi$  ?

•  $y=1+\cos\left(\frac{\pi}{2}x-4\right)$  

•  $y=2\cos\left(x+\pi\right)-2$  

•  $y=1+3\sin\left(2x-\frac{\pi}{2}\right)$  

•  $y=2+\sin\left(4x+\frac{\pi}{2}\right)$  

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Which equation has a phase shift of  $\frac{\pi}{4}$  ?

•  $y=1+\cos\left(\frac{\pi}{2}x-4\right)$  

•  $y=2\cos\left(x+\pi\right)-2$  

•  $y=1+3\sin\left(2x-\frac{\pi}{2}\right)$  

•  $y=2+\sin\left(4x+\frac{\pi}{2}\right)$  

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.TF.B.5