Question

help please I don't know how to graph it in pi

Answer 1

subtraction in domain will cause to slide right side and multiplication will make it expand or contract it

Answer 2

i know y = 2

Answer 3

I would start by subbing in:
x=-pi
x=0
x=pi
x=2pi
x=3pi
x=4pi
then the intervals of them, like x=pi/2

To find the x-intercepts, this is when y=0

the maxima and minima are generally the turning points, ie when the derivative=0

Answer 4

would it be like that? (red points)

Answer 5

or the other way?

Answer 6

well for a start:
at x=pi (x axis)
y=2cos(pi-(2pi/3)) = 2cos(pi/3) = 1

Answer 7

so it doesn't shift left or right? just the maxima is raised by 2?

Answer 8

y=cos(x)
goes to y=2cos(x-(2pi/3))

stretched by a scale of 2, translated by +2pi/3

but the question specifically tells you to plot it, by determining the intercepts and stationary points (ie 2 and -2)

Answer 9

so the ones I attached earlier were both wrong ?

Answer 10

yup

Answer 11

like this then right,cause its2pi/3

Answer 12

Yep by the looks of it (quite hard to accurately tell) it looks correct!

Answer 13

ok cool thank you so much !

Answer 14

not a problem! :-)