SOLUTION: Determine the equation of g(x) that results from translating the function f(x) = (x + 2)^2 to the right 6 units.
a. g(x) = (x - 4)^2
b. g(x) = (x + 8)^2
c. g(x) = (x + 2)^2
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Question 883011: Determine the equation of g(x) that results from translating the function f(x) = (x + 2)^2 to the right 6 units.
a. g(x) = (x - 4)^2
b. g(x) = (x + 8)^2
c. g(x) = (x + 2)^2 - 6
d. g(x) = (x + 2)^2 + 6
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If you write the given function in vertex form, i.e. \ =\ (x\ -\ h)^2\ +\ k))
, you can determine the coordinates of the given function's vertex
\ =\ (x\ +\ 2)^2\ +\ 0)
so the vertex of the given function is )
If you move 6 units to the right, then you need to add 6 to the 
-coordinate of the original vertex to find the -coordinate of the translated function vertex. Since you are only translating 6 units right, and there is no mention of any vertical translation, the 
-coordinate of the vertex remains the same for the given translation. Hence, the vertex of the translated function is )
.
Pick the answer that indicates this new vertex.
John
My calculator said it, I believe it, that settles it
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