Trig Function Transformstions

What would the cos equation look like with these changes: new period 4π, amplitude 1/5, vertical shift -3

• y = 1/5 cos ( x/2) - 3

• y= 5 cos (x/2) - 3

• y = 1/5 cos (2x) + 3

• y = 5 cos (2x) + 3

What would the sine equation look like with the following changes: phase shift - π/4, new period π, amplitude 2

• y = 2 sin 2(x + π/4)

• y = 1/2 sin 2(x - π/4)

• y = 2 sin 1/2 (x - π/4)

• y = sin 1/2 (x + π/4)

Determine the phase shift that brought the parent function to this equation: y = 3 sin (4x + π). Hint: phase shift is x Translation rule and you may need to factor here.

• x + π/4

• x - π/4

• x + π

• x - π

What would happen to the parent cos Function with this Transformation: T: (x, y) > (3x, y - 4)

• period is 2π/3 & vertical shift is -4

• phase shift is -3 & vertical shift is + 4

• amplitude is 3 & phase shift is -4

• period is 6π & amplitude is 4

Which transformation effects loudness of a graph?

• amplitude

• phase shift

• Vertical shift

• period change

Which transformation effects the high/low pitch sound?

• period change

• phase shift

• amplitude

• vertical shift

The Transformation rule T : (x , y) > ( 2x + π/3, 4y + 1) from the parent cos function implies that in the new graph the following would happen...

• period doubled, phase shift + π/3, amplitude 4 & vertical shift + 1

• period doubled, phase shift - π/3, amplitude 1/4 & vertical shift + 1

• period cut in half, phase shift + π/3, amplitude 4 & vertical shift - 1

• Mr. J I'm literally crying right now, and will take a pic and attach to the stream right now.

Which Scale Change rule would have brought the parent sine function in black to the sine picture in blue attached?

• S: (x , y) > ( 3/2 x, 2y)

• S: (x , y) > ( 3x, 2y)

• S: (x , y) > ( 3/2 x, 1/2 y)

• S: (x , y) > ( 3x, 1/2 y)

Which Transformation rule would have brought the parent cosine function in black to the cosine picture in blue (scale change first) and then finally at red (translation last) in the pic attached?

• T:(x,y)>(3x + 2π, 1/2 y - 2)

• T:(x,y)>(1/3 x + 2π, 2y - 2)

• T:(x,y)>(3x - 2π, 1/2 y + 2)

• T:(x,y)>(1/3 x - 2π, 2y + 2)

What inspirational words were sitting on top of Mr. J's white board before the pandemic.

• SIRRr MY METH SAC

• YOU GOT THIS

• AINT NOBODY GOT TIME FOR THAT

• EVERYBODY WANG CHUNG TONIGHT