HELP PLEASE!!!!! THANK YOU
I need to take the original functions and define f(x). 
Then find the new equations by applying the shifts and simplify?!?!?!?!?!?!? 
1.  shift down 3 and left 4
2.  shift left 5
3.  shift down 3 and right 2
4.  shift left 4 and widen by 2 
Thank you for your help
llo


Rules:
1. To shift UP N units, ADD +N TO THE RIGHT SIDE.
2. TO shift DOWN N units, ADD -N TO THE RIGHT SIDE.
3. To shift RIGHT N units, REPLACE x by (x - N) 
4. To shift LEFT N units, REPLACE x by (x + N)
5. To STRETCH by a factor of N > 1, MULTIPLY the RIGHT SIDE by N.
6. To SHRINK by a factor of N < 1, MULTIPLY the RIGHT SIDE by N
7. To SHRINK by a factor of N > 1, MULTIPLY the RIGHT SIDE by 1/N
7. To WIDEN by a factor of N > 1, REPLACE x by x/N
8. To NARROW by a factor of N < 1, REPLACE x by Nx
9. To REFLECT across the x-axis, MULTIPLY the RIGHT SIDE by -1
10. To REFLECT across the y-axis, REPLACE x by -x
11. TO REFLECT across the origin, REFLECT in the y-axis and then REFLECT in the x-axis.


1.  shift down 3 and left 4

Shifting down 3 requires adding -3 to the right side, so first we have



Simplifying,



Shifting left 4 requires replacing x by (x + 4)  so
now we have:







Label it 





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2. y=2x=3 shift left 5

You botched that equation, that second = should either be a + or a -,

Either way, to shift left 5, replace  by 

If it was supposed to be , then when we shift that left 5 we get







If it was supposed to be , then when we shift that left 5 we get







Label it 




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3.  shift down 3 and right 2

To shift down 3 we add -3 to the right side:





To shift right 2 we replace  by  in the right side







Label it f(x)

 

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4.  shift left 4 and widen by 2
 
To shift left 4 units we replace  by 



To widen by 2, we replace x by  

















Label it 



Edwin