Ask a question

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

Tutors, sign in to answer this question.
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)
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)
Hi Christine;
The Answer is D.
Up five units...
Austin J. | Mathematics ConnoisseurMathematics Connoisseur
Keep in mind that when x=0 g(x)=1 for the original function. The y intercept on a function that has been translated up by 5 will need to be 6.  From this you can see you can see that g(x) or y must have 5 added to it for an upwards translation by five and g(x)+5=(x^2+1)+5 or g(x)+5=x^2+6, which is D.