SOLUTION: Let R(x)=x^3-7/x^2+1; what happens to R(x) if we now have R(x)-3? a)It shiftes 3 units to the left b)It shiftes 3 units down c)It shiftes 3 units to the right d)It shiftes 3 un

Algebra ->  Equations -> SOLUTION: Let R(x)=x^3-7/x^2+1; what happens to R(x) if we now have R(x)-3? a)It shiftes 3 units to the left b)It shiftes 3 units down c)It shiftes 3 units to the right d)It shiftes 3 un      Log On


   

Question 146287: Let R(x)=x^3-7/x^2+1; what happens to R(x) if we now have R(x)-3?
a)It shiftes 3 units to the left
b)It shiftes 3 units down
c)It shiftes 3 units to the right
d)It shiftes 3 units up
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Let R%28x%29=%28x%5E3-7%29%2F%28x%5E2%2B1%29; what happens to R%28x%29 if we now have R%28x%29-3?
a)It shifts 3 units to the left
b)It shifts 3 units down
c)It shifts 3 units to the right
d)It shifts 3 units up

Rules for shifting and reflecting:

If we had R(x+3), the shift in R(x) would be 3 units to the left.
If we had R(x-3), the shift in R(x) would be 3 units to the right.
If we had R(-x), the graph R(x) would be reflected in the y-axis.
If we had -R(x), the graph R(x) would be reflected in the x-axis.
If we had R(x)+3, the shift in R(x) would be 3 units up.
If we had R(x)-3, the shift in R(x) would be 3 units down.

So the answer is b).

Edwin