We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
75
3
avatar+808 

 

If you can check the above question and for this one I am unsure.

 

 

 Mar 8, 2019
edited by jjennylove  Mar 8, 2019
 #1
avatar+99441 
+1

First one

 

4sin (x - 3)     [remember that a "-"  shifts the function to the right ]

 

Second one

 

Look at this

 

4(1/2) sin (x) + 2 + 6    =   2sin (x) + 8

So....it is vertically stretched by a factor of 4 and shifted up 6  units

 

Third one

 

The number out front doesn't affect the shift up/down...it just changes the amplitude of the curve....the midline of the graph remains the same

 

The number added or subtracted to the function affects the shift up/down

 

So.....shifting this sine graph [and its midline ] up 4 units results in f(x) = 4 + sin (x)

 

Look at the graph here :   https://www.desmos.com/calculator/gnp4zjdwvs

 

 

cool cool cool

 Mar 8, 2019
 #2
avatar+808 
+1

Question 1 makes sense smiley

 

 

However, for question 2, where did the 4  and 6 come from in the equation?

 

For question 3, just to make sure my response was correct then ? Im bit confused if thats what you were saying

jjennylove  Mar 8, 2019
 #3
avatar+99441 
+2

Second one

 

Multiplying  (1/2) by a factor of 4 produces a vertical stretch of 2

 

Adding 6 to 2 shifts the graph up 6 units  and produces the "8"

 

So   (1/2)sin (x) + 2    is transformed to  4(1/2)sin (x) + 2 + 6 =   2sin (x) + 8

 

Third one

 

Your answer of  4 sin (x)  just increases the amplitude  ( the "peaks" and "valleys" ) of the curve....it does not do anything to the shift

 

To  shift the curve up by 4 units we need    f(x) = 4 + sin (x)    (the second answer )

 

 

cool cool cool

 Mar 8, 2019

8 Online Users