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?

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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)   (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)

shift up 6

shift right 9

Answer:

Answer by ankor@dixie-net.com(22740)   (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.

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