1) for transformations I always try to remember the original graph. I look at numbers that are included and look for any negitives to flip a graph over. Remembering the unit circle and parent graphs of trig functions help. Numbers with X stretches graphs Horizontally
2) To me , trig are involved in the unit circle. Almost everything is related to the circle.
Sin 3(2X)
The 3 makes the amp go up
2 makes the sin graph more together.
3) Relating the unit circle with functions. Graphing trig functions
Ok the way the unit circle relates with functions is its like having a map. When your doing functions like Sin (x+2) you refer to the unit circle to find values (Sin of pi/2...etc.). Once you find the values you can plug them in. Also, its like a map because when your doing trigonometric identities (tan=sin/cos....etc.)you follow the radians like a map (like from pi/2 to 5pi/6 etc.)
ReplyDeletehmmm well Krystal is right but dang i get confused about it too. Sometimes I forget to relate it and I get stuck
ReplyDeleteThe 3 that makes the amp go up should look like y=3sin2x. The 3 should not be on the inside of sine.
ReplyDelete