PC: Sine Functions: Amp and S.A.

Which graph shows the parent function

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

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What are the maximum and minimum values of the function

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

• 0 and 1

• 1 and -1

• 0 and -1

• 0 and 360

Which word describes the height of the maximum and minimum values of the sine function above the sinusoidal axis?

• Period

• Amplitude

• Frequency

• Sinusoidal Axis

A sine function has its maximum value at 5 and its minimum value at -5. Which of the following could be it's equation?

• $f\left(\theta\right)=5\sin\left(\theta\right)$

• $f\left(\theta\right)=\sin\left(\theta\right)+5$

• $f\left(\theta\right)=-4\sin\left(\theta\right)$

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

The a value in

 $f\left(\theta\right)=a\sin\left(\theta\right)$  controls which aspect of the sine graph?

• Period

• Sinusoidal Axis

• Phase Shift

• Amplitude

Which function could be the equation for the graph:

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

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

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

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

The d value in

 $f\left(\theta\right)=\sin\left(\theta\right)+d$  controls which aspect of the sine graph?

• Period

• Sinusoidal Axis

• Phase Shift

• Amplitude

A sine function has its maximum value at 12 and its minimum value at 10. Which of the following is true about the function?

• Its amplitude is 5.

• Its sinusoidal axis is y = 11.

• Its amplitude is 6.

• Its sinusoidal axis is the x-axis.

What are the maximum and minimum value of

 $f\left(\theta\right)=\sin\left(\theta\right)-7$  ?

• 7 and -7

• 14 and -14

• 8 and 6

• -6 and -8

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.