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moongazer
Group Title
In graphing trigonometric functions why is it the phase shift of
y = a sin b(x+c) + d .
when c < 0 is to the right and when c > 0 is to the left ??
also for other trigo functions
 2 years ago
 2 years ago
moongazer Group Title
In graphing trigonometric functions why is it the phase shift of y = a sin b(x+c) + d . when c < 0 is to the right and when c > 0 is to the left ?? also for other trigo functions
 2 years ago
 2 years ago

This Question is Closed

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
to allow us to determine this from the origin
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
dw:1345902565889:dw
 2 years ago

phi Group TitleBest ResponseYou've already chosen the best response.0
the same reason that f(x1) is shifted to the right. When x is 0, you plot a value taken from the function to the left of zero. You have "moved the point on the left to the right"
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
does this make sense?
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
I'm still trying to understand it :)
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
evaluating things that are at the origin, is by far simpler than trying to evaluate them at a distance.
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
since moving an object doesnt change its inherent structure; we move it to the origin to study it
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
we account for the movement in the equation such that if we move the center to the origin; all the points related to the function move in the same manner
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
I think I understood it now with the explanation of phi.
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
if we want to study a parabola: y = (x)^2 ; such that the vertex is x = 5, y=3 it is better to study this when the vertex is at the origin so we move it by 5, 3 to get it to (0,0) y3 = (x5)^2 y = (x5)^2 + 3
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
if x is out of phase by a factor of "c" then we need to adjust this thing back into place with (xc)
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
i think factor is a bad term there, but you know .....
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
That's what I am thinking with this sine graph dw:1345904532767:dw you need to subtract pi/3 to make it to the origin
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
I think what you said: "then we need to adjust this thing back into place with (xc)" explains it
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
could you also explain why a is the amplitude and d is the vertical shift?
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
I'm just curious how does that work :)
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
when u write y=a sin (b(x+c)) the maximum value of y is a because the maximum value of sine function is 1 and the amplitude is the maximum value a function can take....
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
now consider the equation yd=a sin (b(x+c)) this means that all the points with ycoordinate y has now the y coordinate of yd this is a vertical shift of the entire function if d is positive, the entire function shifts down by d units and if d is negative the entire function shifts up by d units
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
i hope u got this @moongazer
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
a is a scalar factor that affects the slope of this thing at any given point. if we take the sine wave, it only has values from 1 to 1, the "a" part manipulates the slope at every given point to change how high or low the sin function can reach
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
sin(90) = 1; but lets say the original function is such that sin(90) = 3; multiply both sides by 3 3 sin(90) = 3
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
hartnn looks to have explained that well
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
Thanks for the answers. I agree that hartnn explained it well. :)
 2 years ago
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