PCH 8.1-8.4

What is the equation of the graph shown?

• y=1/2cos2x
• y=1/2sin4x
• y=1/2cos4x
• y=4cos1/2x

Tags

CCSS.HSF-IF.C.7E

Find a and d for the function f(x) = asinx + d such that the graph of f(x) matches the graph shown.

• a = 2, d = -1

• a = 2, d = 2

• a = 4, d = 1

• a = 4, d = -3

Tags

CCSS.HSF-IF.C.7E

Determine the period of

 $y=3\cos\left(\frac{x}{6}\right)-5$  .

•  $\frac{\pi}{3}$  

•  $\frac{1}{3}$  

•  $6\pi$  

•  $12\pi$  

Tags

CCSS.HSF-IF.C.7E

Choose the equation to represent the graph shown.

• $y=2\cos\left(4\theta\right)+1$

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

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

• $y=-\sin\left(2\theta\right)+1$

Tags

CCSS.HSF-IF.C.7E

Choose the equation to represent the graph shown.

• $y=2\cos\left(4\theta\right)+1$

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

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

• $y=-\sin\left(2\theta\right)+1$

Tags

CCSS.HSF-IF.C.7E

Write the equation for a sine function with a reflection over the x-axis, period of

 $\pi$  , a phase shift of  $\frac{\pi}{2}$  , and a vertical shift of 4.

•  $y=-\sin\left(2\theta-\pi\right)+4$  

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

•  $y=-\sin\left(2\theta+\pi\right)+4$  

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

Tags

CCSS.HSF-IF.C.7E

 $y=5\sin\left(6\theta+2\pi\right)-\frac{1}{2}$  

Determine the phase shift of the given function.

• Right $\frac{\pi}{3}$  
  

• Left $\frac{\pi}{3}$  
  

• Right $12\pi$  
  

• Left $2\pi$  
  

Tags

CCSS.HSF-IF.C.7E

Find the period of the function

• 6

• 3

• 2

Tags

CCSS.HSF.TF.A.4

Of the features mentioned below, which 2 are DIFFERENT for the 2 sinusoidal functions shown in the picture?

• amplitude

• midline

• period

• y-intercept

Tags

CCSS.HSF-IF.C.7E

A person gets on a Ferris Wheel that starts off 8 feet above the ground.  At its highest point, the height is 22 feet above the ground and completes a full rotation in 75 seconds.  What is the AMPLITUDE of a periodic graph modeling this information? 

• 7

• 75

• 8

• 22

• 15