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

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


   

Question 146282: Let R(x)=x^3-7/x^2+1; what happens to R(x) if we now have R(x+2)?
a)It shifts 2 units to the left
b)It shifts 2 units up
c)It shiftes 2 units to the right
d)It remains stationary; there is no effect of adding 2 to x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Simply graph R%28x%29=%28x%5E3-7%29%2F%28x%5E2%2B1%29 to get


+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+%28x%5E3-7%29%2F%28x%5E2%2B1%29%29+



and R%28x%2B2%29=%28%28x%2B2%29%5E3-7%29%2F%28%28x%2B2%29%5E2%2B1%29 to get





Together they look like this

Graph of R%28x%29=%28x%5E3-7%29%2F%28x%5E2%2B1%29 (red) and R%28x%2B2%29=%28%28x%2B2%29%5E3-7%29%2F%28%28x%2B2%29%5E2%2B1%29(green)


So we can see that the new graph is shifted 2 units to the left.