Thurs 3/26 More Trig Graphs

Which of the following functions has a maximum value of 25?

• $y=25\sin x+12$

• $y=-10\cos x+35$

• $y=8\cos x+17$

• $y=5\sin x+15$

If the period of a sinusoidal function is equal to 18, which of the following gives its frequency?

• $\frac{\pi}{9}$

• $18\pi$

• $\frac{\pi}{18}$

• $6\pi$

When the period of a sine function doubles, the frequency

• doubles

• increases by 2

• halves

• decreases by 2

The brightness of the star MIRA over time is given by the equation $y=2\sin\ \frac{\pi}{4}x+6$  , where x represents time and y represents brightness. What is the period of this function, in radian measure

•  $\frac{\pi}{4}$  

• 8

•  $8\pi$  

• 4

A sine function increasing through the origin can be used to model light waves. Violet light has a wavelength of 400 nanometers. Over which interval is the height of the wave decreasing, only?

• (0,200)

• (100,300)

• (200,400)

• (300,400)

Which statement is incorrect for the graph of the function  $y=-3\cos\left(\frac{\pi}{3}\left(x-4\right)\right)+7$  ?
      

• The period is 6

• The amplitude is 3.

• The range is [4,10].

• The midline is y = -4.

Which of the following lines when drawn would not intersect the graph of  $y=6\sin x$  ?

• x=8

• x=3

• y=-4

• y=9

Which bold line segment correctly identifies  $\sin\ \frac{5\pi}{6}$  ?

• 
• 
• 
• 

The path traveled by a roller coaster is modeled by the equation   $y=27\sin13x+30$  . What is the maximum altitude of the roller coaster?

• 13

• 27

• 30

• 57

Given the parent function  $p\left(x\right)=\cos x$   , which phrase best describes the transformation used to obtain the graph of   $g\left(x\right)=\cos\left(x+a\right)-b$  , if a and b are positive constants?

• right a units, up b units

• left a units, up b units

• right a units, down b units

• left a units, down b units