SOLUTION: Fill in the following for y=-4cos(3x-90°)+2 and sketch 3 cycles of the function. period: amp: axis: max: min: phase shift: domain: range:

Algebra ->  Trigonometry-basics -> SOLUTION: Fill in the following for y=-4cos(3x-90°)+2 and sketch 3 cycles of the function. period: amp: axis: max: min: phase shift: domain: range:      Log On


   

Question 1091304: Fill in the following for y=-4cos(3x-90°)+2 and sketch 3 cycles of the function.
period:
amp:
axis:
max:
min:
phase shift:
domain:
range:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
For either y%22%22=%22%22A%2Acos%28Bx%2BC%29%2BD or y%22%22=%22%22A%2Asin%28Bx%2BC%29%2BD:

period: 2pi%2FB
amp: abs%28A%29
axis: y=D
max:  D%2Babs%28A%29 
min:  D-abs%28A%29 
phase shift:  -C%2FB, left if negative, right if positive.
domain: %28matrix%281%2C3%2C-infinity%2C%22%2C%22%2Cinfinity%29%29
range:  matrix%281%2C5%2C%22%5B%22%2CD-abs%28A%29%2C%22%2C%22%2CD%2Babs%28A%29%2C%22%5D%22%29

Now substitute A=-4, abs%28A%29=4, B=3, C=-90%B0, D=2 and simplify.

If you have trouble with this or the graph, tell me in the
thank-you note form below and I'll get back to you by email.

Edwin