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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
Ok first of all the c in the equation which is the 2 is causing vertical shift
the pi/6 is the horizontal shift. It's moving the graph by 30° to the left (if the radian is positive)
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
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
oh okay thank you for all your help. i clearly have a lot to learn about this subject. you've been a real help
I can tell you one thing though the last graph is absolutely out of the option do you know why?
I mean the first graph
I mean under
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
the problem says 0-2pi so that makes sense