Parts of Trig Function Rules

The period for  $y=\cos\left(x-\frac{π}{2}\right)-1$  

• 2π

• π

• 4π

• π/2

The amplitude for $y=\cos\left(x-\frac{π}{2}\right)-1$   

• 2

• 4

• 1

• -1

 $y=\cos\left(x-\frac{π}{2}\right)-1$  The horizontal shift for

• π/2 left

• π/2 right

• 1 left

• none

The vertical translation for $y=\cos\left(x-\frac{π}{2}\right)-1$ 

• up π/2

• none

• up 1

• down 1

 $y=\frac{1}{2}\cos\left(\frac{1}{3}x+π\right)$  The period for

• 6π

• π/3

• 2π/3

• 3π

 $y=\frac{1}{2}\cos\left(\frac{1}{3}x+π\right)$  The horizontal translation for

• π right

• π left

• 3π left

• 3π right

 $y=\frac{1}{2}\cos\left(\frac{1}{3}x+π\right)$  The dilations for

• 1/2 as tall and 1/3 as wide

• twice as tall and 1/3 as wide

• 1/2 as tall and 3 times as wide

• twice as tall and 3 times as wide

 $y=-\sin\left(2x-π\right)-3$  The amplitude for

• -1

• 1

• 2

• -3

 $y=-\sin\left(2x-π\right)-3$  The period for

• 4π

• 2π

• 4π

• π

 $y=-\sin\left(2x-π\right)-3$  The horizontal translation for

• left π/2

• right π

• right π/2

• left π