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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
 one year ago
 one year 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
 one year ago
 one year 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
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
dw:1345902565889:dw
 one year 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"
 one year ago

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

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

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

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

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

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

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

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