Pre-cal trig graphing/ transformation?

Farid

New member
Okay now the equation to graph is y=1/2-1/2cos(2x-pie/3)

so far my steps from 1-3 i am confident about, i just need help on conforming whether step 4 and 5 should be reversed where as step 5 should be performed first before step 4, and no please don't graph this because there is no need to yet

step 1. by using factoring method u should rewrite equation to, y=1/2-1/2cos(2(x-pie/6))

step 2. Divide every x axis values by 2

step 3. multiply every y axis values by 1/2

step 4. reverse the sign of every y axis value due to (-) sign.

step 5. move every units up by 1/2

after the transformations by shifting every x axis values to the right by 2(pie/6) or just pie/3
you have the standard graph but now the question remains whether i should move the units up by 1/2 before reversing the graph. Or and this is another problem what if 1/2 minus the rest of the equation actually means moving the graph down by 1/2 instead of reversing it, my guess would be that because a reverse is only a reverse if the negative sign encompasses the entire equation, like
-[1/2-1/2cos(2x-pie/3)]... what are your thoughts fellow awesome mathematicians?
 
y = 1/2 -1/2cos(2x -pie/3)
Multiply both sides by 2, we get,
2y = 1 - cos(2x -pie/3)
cos(2x -pie/3) = 2y +1
cos(2x -pie/3) = (2y +1)/1
A . N . S . W . E . R ........
 
y = 1/2 -1/2cos(2x -pie/3)
Multiply both sides by 2, we get,
2y = 1 - cos(2x -pie/3)
cos(2x -pie/3) = 2y +1
cos(2x -pie/3) = (2y +1)/1
A . N . S . W . E . R ........
 
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