Question

Graph the function in the interval from 0 to 2pi.
y = 2 cos(theta+pi/6)+2

How do I graph this? This is a sample question. I'm preparing for my final and I really need help

Answer 1

These are my options. How do I solve the problem and get the correct graph?

Answer 2

graph2d

Answer 3

I'm new to Trignometric Graphing myself

I tried around with the trignometric graphing calculator myself and I got the answer as the 2nd graph

I'm trying to figure out how

Answer 4

@girlygirl12151 But how did you get that? I would like to know how to graph problems like these in the future

Answer 5

@nopen there's such a thing as a graphing calculator? i need one of those :)!

Answer 6

Ok first of all the c in the equation which is the 2 is causing vertical shift

Answer 7

the pi/6 is the horizontal shift. It's moving the graph by 30° to the left (if the radian is positive)

Answer 8

@nopen okay.. i don't understand much of that, but I understand a little. At least i know what i need to go deeper into studying

Answer 9

@nopen do you know how i'd tell if the radian is positive. (this might be a dumb question)

Answer 10

and the 2 that you see that multiplies with the whole equation is the stretch factor, the larger that number, the more the amplitude will get stretched.

here plot the graph in this link:
https://illuminations.nctm.org/Activity.aspx?id=3589

Answer 11

it's simply any number if it's have +pi/whatever number
that's positive radian and if it's negative it will have a negative sign

Answer 12

oh okay thank you for all your help. i clearly have a lot to learn about this subject. you've been a real help

Answer 13

I can tell you one thing though
the last graph is absolutely out of the option do you know why?

Answer 14

I mean the first graph

Answer 15

@nopen Is it because its over the line?

Answer 16

I mean under

Answer 17

Nope it's because your equation is have the the +2

y = 2 cos(theta+pi/6)+2 <------- this 2

it means it's have a vertical shift upwards by 2 units

Answer 18

@nopen and it's under the 2 with the starting point at 4

Answer 19

the problem says 0-2pi so that makes sense

Answer 20

yup

Answer 21

@nopen I have to get ready to go to work. Thank you for the link to the graph calculator and for your help. Have a great day!

Answer 22

np