SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: CONSIDER g(x) = (x + 2)^3; what is the new equation for g(x) if it is shifted up 6 units and shifted right 9 units?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: CONSIDER g(x) = (x + 2)^3; what is the new equation for g(x) if it is shifted up 6 units and shifted right 9 units?      Log On


   

Question 156110: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
CONSIDER g(x) = (x + 2)^3; what is the new equation for g(x) if it is shifted up 6 units and shifted right 9 units?
Found 2 solutions by oscargut, ankor@dixie-net.com:
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
in gral to shift up a function f(x) a units you must to add a
result is f(x)+a
in gral to shift right a function f(x) a units you must to substitute x by x-a
result is f(x-a)
g%28x%29+=+%28x+%2B+2%29%5E3
shift up 6
g%28x%29=%28x%2B2%29%5E3%2B6
shift right 9
g%28x%29=%28x-9%2B2%29%5E3%2B6=%28x-7%29%5E3%2B6
Answer:g%28x%29=%28x-7%29%5E3%2B6

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
g(x) = (x + 2)^3; what is the new equation for g(x) if it is shifted up 6 units and shifted right 9 units?
:
Shift it 6 units up
g(x) = (x+2)^3 + 6
:
Shift it right 9 units
g(x) = (x+2-9)^3 + 6
which is:
g(x) = (x-7)^3 + 6
:
If you have a graphing calc, put this and the original equation in (y=g(x)).
it will illustrate this.