SOLUTION: Determine the equation of g(x) that results from translating the function f(x)=(x+4)^2 to the right 6 units.

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Question 891366: Determine the equation of g(x) that results from translating the function f(x)=(x+4)^2 to the right 6 units.

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You are starting with a function f(x) which was translated from standard position according to h%28x%29=x%5E2. The change was something f%28x%29=%28x-c%29%5E2. The value of c for your f(x) was c=-4.

Do you see how this works?

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Determine the equation of g(x) that results from translating the function f(x)=(x+4)^2 to the right 6 units.

f%28x%29+=+%28x+%2B+4%29%5E2
With a translation of 6 units to the right, f%28x%29+=+%28x+%2B+4%29%5E2 becomes: g%28x%29+=+%28x+%2B+4+-+6%29%5E2, or highlight_green%28highlight_green%28g%28x%29+=+%28x+-+2%29%5E2%29%29