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 The graph of f(x) = sin (x) is transformed to a new function, g(x), by stretching it vertically by a factor of 2 and shifting it 3 units up. What is the equation of the new function g(x)?

 

g(x) =

 Jan 28, 2019
 #1
avatar+145 
-1

expansion factor is 1/2 and shift upward is by -3

g(x)=(1/2)*f(x)-3

g(x)=(1/2) * sin(x)-3

 Jan 28, 2019
 #2
avatar+95866 
+1

We have the form

 

g(x)  = Asin (x) + D

 

A = the vertical stretch = 2

D = the shift up

 

So...the equation is

 

g(x) = 2sin (x) + 3

 

 

 

cool cool cool

 Jan 28, 2019

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