Question

find amplitude and period of the graph y=-3cospiex

Answer 1

do you know what y=cos x graph looks like

Answer 2

yes

Answer 3

when you have a 3 multiplying cos x

Answer 4

you are multiplying the value of cos x, by 3... everywhere so it must be 3 times more on the y axis

Answer 5

and when its -3, where it was positive before its negaitive and negative before is positive

Answer 6

y=cos(x) has a period 2pi meaning for values from 0 to 2pi for x, there is 1 cycle completed, when you are muliplying cos(x*pi) the x by the pi you are speeding up this cycles period by that factor so your cycle happens for smaller value of x

Answer 7

by that factor

Answer 8

where the period was 2pi before now is 2pi/pi=2

Answer 9

If y = Acos(Bx) then |A| is the amplitude and (2*pi) / B is the period.