Unit 7 - Quiz 1 - PRACTICE

Where does the graph of y=sin(x) "begin" its first cycle?

• (0,0)

• (1,0)

• (0,Pi)

• (1, Pi)

Where does the graph of cosine "begin" its first cycle?

• (0,0)

• (0,1)

• (0, Pi)

• (1, Pi)

If no horizontal translation occurred, is this graph Sine or Cosine?

• y=sinx

• y=cosx

If no horizontal translation occurred, is this graph Sine or Cosine?

• y=sinx

• y=cosx

What does a negative "a" value in the equation of a transformation of sine, cosine, or tangent cause?

• A negative amplitude

• A reflection across the Y axis

• No effect

• A reflection across X axis

What is the amplitude of the equation?
 $y=3\sin\left(2x\right)+4$  

• 3

• 2

• 4

• 1/2

Tags

CCSS.HSF-IF.C.7E

Which transformation below was applied to the function $y=-\frac{1}{2}\sin\left(3x\right)$   

• Reflection over the y-axis

• Vertical stretch by 2

• Horizontal stretch by 3

• Horizontal shrink (or compression) by 1/3

What is the period of the function  $y=\frac{1}{4}\cos\left(4x\right)+1$  

•  $2\pi$  

•  $8\pi$  

•  $\frac{\pi}{2}$  

•  $\frac{\pi}{4}$  

Which equation below matches the following description: The cosine function is translated  $\pi$  units to the right, 4 units up and is vertically stretched by a factor of 3.

•  $y=3\cos\left(x+\pi\right)+4$  

•  $y=\frac{1}{3}\cos\left(x+\pi\right)+4$  

•  $y=3\cos\left(x-\pi\right)+4$  

•  $y=3\cos\left(x-\pi\right)-4$  

Write an equation for the cosine function with amplitude 3, period  $2\pi$  , phase shift of  $\pi$  units to the right, and vertical shift of 5.

• y = 5cos(x -  $\pi$ ) + 3

• y = 3cos(x -  $\pi$ ) + 5

• y = 3cos(2x -  $\pi$ ) + 5

• y = 5cos(2x -  $\pi$ ) + 3