Precalculus Final Review (sine/cosine/polynomials)

Which graph shows the parent function

 $f\left(\theta\right)=\sin\left(\theta\right)$  ?

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Which function could be the equation for the graph:

• $f\left(\theta\right)=3\sin\left(\theta\right)$

• $f\left(\theta\right)=-3\sin\left(\theta\right)$

• $f\left(\theta\right)=\sin\left(\theta\right)+3$

• $f\left(\theta\right)=\sin\left(\theta\right)-3$

If the a value in a sine function is negative, then

• the graph is below the graph of the parent function.

• the graph is a reflection of the parent function over the x-axis.

• the graph is a reflection of the parent function over the y-axis.

• the graph is squashed vertically compared to the parent function.

Which graph has an amplitude of 3?

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• $period:\ 6\pi$
  

• $period:\ 3\pi$

• $period:\ 2\pi$

• $period:\ 8\pi$

• $period:\ \pi$

• $period:\ 2\pi$

• $period:\ 3\pi$

• $period:\ 4\pi$

• $amp:\ 1$

• $amp:\ 2$

• $amp:\ \frac{1}{2}$

• $amp:\ 0$

• sine function

• cosine function

What is the period of  $y=4\cos5\theta$  ? 

• 2π/5

• π

• 5

• 5π

Write the equation for a sine function with an amplitude of 6 and a period of  $\frac{\pi}{4}$  .

•  $y=6\sin8\theta$  

•  $y=6\sin8\left(\theta-1\right)$  

•  $y=6\sin\ \frac{1}{4}\theta$ 

•  $y=6\sin\theta$