Question

find the amplitude,period, horizontal shift and vertical shift of the following:

y=2cos(2pix) and y=sin(x-pi/4)+2

Answer 1

how far did you get?

Answer 2

well for the first one i got that the amplitude is 2, the period is 1, the horizontal shift to be none and the vertical shift to be none. For the second one i did not get the amplitude or period but for the horizontal shift i got pi/4 units to the right and the vertical shift to be 2 units up

Answer 3

very good so far

Answer 4

the only thing you're missing is the period of y=sin(x-pi/4)+2

Answer 5

y=sin(x-pi/4)+2 is the same as y=sin(1x-pi/4)+2

Answer 6

The coefficient of the x term is 1, so B = 1

Period:

T = 2pi/B

T = 2pi/1

T = 2pi

which means the period of y=sin(x-pi/4)+2 is 2pi

Answer 7

Side Note: I'm using the basic form

y = A*sin(Bx - C) + D

Answer 8

ok for the amplitude of the second function is it one?

Answer 9

That is correct. A = 1

So

Amplitude = |A| = |1| = 1

Answer 10

thank you soo much! i have to go now unfort. i have to go to the store but thanks for the help i might be on later if you are on would you mind helping me more?

Answer 11

sure I'd love to

Answer 12

ok thanks message you after a bit

Answer 13

alright, cya later