Graphing Trig Functions Quiz

Given the graph below, the vertical shift to the curve is:

• +4

• +3

• +2

• Not enough information

Given the graph below, the amplitude of the curve is:

• 4

• 3

• 2

• 1

The sine equation that represents the one cycle image is given by the equation:

• $y=2\sin x+2$

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

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

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

The period of the curve below IS 2pi. What is the b value in the base equation  $y=a\sin b\left(x-c\right)+d$  

•  $\frac{1}{2}$  

•  $1$  
  

•  $2$  
  

• Not Enough Information

The cosine equation that represents the one cycle image is given by the equation:

•  $y=2\cos\left(x+\pi\right)+2$ 

•  $y=2\cos\left(x-\pi\right)+2$ 

•  $y=2\cos\left(x\right)+2$ 

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

The one cycle image of the graph below represents a:

• Sine Curve

• Reflected Sine Curve

• Cosine Curve

• Reflected Cosine Curve

The quantity (bx - c) for the given one cycle image would be:

• $\left(x-\frac{9\pi}{4}\right)$

• $\left(x+\frac{9\pi}{4}\right)$

• $\left(x-\frac{\pi}{4}\right)$

• $\left(x+\frac{\pi}{4}\right)$

Given the one cycle image below, the amplitude and the midline would be:

• Amplitude of 3, Midline of -1

• Amplitude of 6, Midline of -1

• Amplitude of 2, Midline of -3

• Amplitude of 6, Midline of 0

The period of the curve is:

•  $2\pi$  

•  $3\pi$  

•  $4\pi$  

•  $\frac{1}{2}\pi$  

Given the one cycle image below, the value of b in the quantity (bx - c) is:

• $2$
  

• $4$
  

• $4\pi$

• $\frac{1}{2}$