SOLUTION: I need to find the (1) amplitude, (2) period, and (3) phase shift - without graphing - for this equation: y = -cos (x/2 + pi/2) Thank you in advance for any help.

Algebra ->  Trigonometry-basics -> SOLUTION: I need to find the (1) amplitude, (2) period, and (3) phase shift - without graphing - for this equation: y = -cos (x/2 + pi/2) Thank you in advance for any help.       Log On


   

Question 1063801: I need to find the (1) amplitude, (2) period, and (3) phase shift - without graphing - for this equation:
y = -cos (x/2 + pi/2)
Thank you in advance for any help.
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!

y+=+A%2Acos+%28B%2Ax+%2B+C%29%2BD or y+=+A%2Asin+%28B%2Ax+%2B+C%29%2BD

matrix%281%2C3%2Camplitude%2C%22%22=%22%22%2Cabs%28A%29+%29
matrix%281%2C3%2Cperiod%2C%22%22=%22%22%2C2pi%2FB+%29
matrix%281%2C4%2Cphase%2Cshift%2C%22%22=%22%22%2C-C%2FB+%29
matrix%281%2C4%2Cvertical%2Cshift%2C%22%22=%22%22%2CD+%29

y+=+-cos+%28x%2F2+%2B+pi%2F2%29

matrix%281%2C7%2CA=-1%2C%22%2C%22%2CB=1%2F2%2C%22%2C%22%2CC=pi%2F2%2C%22%2C%22%2CD=0%29

Now you can finish by substituting.  If you have trouble,
tell me about it in the thank-you note form below.

Edwin