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# translating functions

Determine the equation of g(x) that results from the translating the function f(x)=x^2 +1 upward 5 units

A. g(x)=(x+6)^2
B. g(x) =(x+5)^2+1
C. g(x)=x^2-4
D. g(x)=x^2+6

I believe it is B. I did not even get close to any of the other answers. Is this correct or did I do this wrong? Please help

### 3 Answers by Expert Tutors

Varaia R. | I was put on this earth so you finally can "get" math.I was put on this earth so you finally c...
5.0 5.0 (29 lesson ratings) (29)
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Translating upward 5 units means that the x coordinates are still the same and only the y coordinates are changing.

This is a basic parabola with vertex at (0,1)   If it is translated upward it has not changed the shape of the parabola so it is still x^2 now just 5 more units up the y-axis.

1+5 =6  so D. g(x)=x^2 + 6

D is the correct answer. Translating upward and downward only affects the constant term.
Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
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Hi Christine;