SINE AND COSINE FUNCTION GRAPHS

What is the equation of graph?

• y = 2 sin x

• y = 2 cos x

• y = 2 cos 2x

• y = 2 sin 2x

What is the period? remember : is cosine

•  $2\pi$  

•  $\frac{\pi}{2}$  

•  $\frac{3}{4}\pi$  

• π

What is the period of y= 4 cos (5x)

• 2π/5

• π

• 5

• 5π

Choose the rigth answer

y = 3 sin (7x) - 2

• $period\ \frac{2}{7}\pi$ Amplitud 7 cycles 3 vertical shift -2

• - $period\ \frac{2}{7}\pi$ Amplitud 3 cycles 7 vertical shift -2

• $period\ \frac{2}{7}\pi$ Amplitud 7 cycles 3 phase shift +2

• $period\ \frac{2}{7}\pi$ Amplitud 3 cycles 7 phase shift +2

What is the period of
y= 4 cos (5x)

• 2π/5
• π
• 5
• 5π

Tags

CCSS.HSF.TF.A.4

Write an equation of a sine function with a period of π and amplitude of 7.

• y=7 sin x

• y= 2 sin πx

• y=2 sin 7x

• y=7 sin 2x

Tags

CCSS.HSF-IF.C.7E

 $y=\ 4\ \cos\ \left(\frac{1}{2}x+\pi\right)-2$  what is the phase shift ?

• $-\pi$

• $-\frac{\pi}{2}$

• $-2\pi$

• $2\pi$

Which function represents the graph?

• f(x) = 3 sin x

• f(x) = 3 cos x

• f(x) = sin ( ⅓ x)

• f(x) = sin (3 x)

If the blue line is y= sin x

What is the equation of the green line?

• y = sin 2x

• y = 2 sin x

• $y=\ \sin\ \left(2x\ +\pi\right)$

• $y=\ \sin\ \left(x\ +\pi\right)$

 $y=\ 4\ \cos\ \left(\frac{1}{2}x+\pi\right)-2$  What is the end point of the  phase shift for 

•  $3\pi$  

•  $\frac{\pi}{2}$ 

•  $6\pi$ 

• $2\pi$