Question

can someone explain how to graph:
y=1/2*cos(3ø+m/3)

Answer 1

think of the parent function \(\ y=\cos \theta \)

Answer 2

what is the period of cos ?

Answer 3

The period is pi

Answer 4

2pi i mean sorry

Answer 5

so knowing that we want to find the period of \(y=\frac{1}{2} \cos (3\theta+\frac{m}{3}) \)

Answer 6

we set \(3\theta +\frac{m}{3}=2\pi\)
solve for theta

Answer 7

you get \(\theta =\frac{2\pi}{3}-\frac{m}{9}\)
this our period

Answer 8

so the period is where the graph repeats it self

Answer 9

what you need to think of is the graph of cos theta how you can translate it to that graph

Answer 10

1/2 is the amplitude
period I did it
horizontal shift solve theta /3 +m/3=0
this is good enough to tell you about the graph

Answer 11

thank you so much, made so much sense