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

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


   

Question 147581: R(x) = x^3 - 7 / x^2 + 1; what happens to R(x) if we now have R(x+2)?
a. shifts 2 units to the left
b. shifts 2 units up
c. shifts 2 units to the right
d. remains stationary; there is no effect of adding 2 to x
Found 2 solutions by jim_thompson5910, stanbon:
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.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Ans: a
Cheers,
Stan H.