Question

The graphs of f(x) and g(x) are shown below:

If f(x) = (x + 7)2, which of the following is g(x) based on the translation?
g(x) = x2 + 18x + 81
g(x) = x2 + 10x + 25
g(x) = x2 + 14x + 47
g(x) = x2 + 14x + 51

Answer 1

from your drawing, we can see that the graph of g(x) is shifted by 2 units to left, with respect to the graph of f(x). Mathematically, we can represent that traslation using this formula:
g(x)=f(x+2)

Answer 2

@MeganChase @jcoury @satellite73 @Hero @ali2x2

Answer 3

g(x) = x2 + 14x + 47

Answer 4

its C

Answer 5

i got c

Answer 6

thanks everyone! :)

Answer 7

I got this:
g(x)=(x+9)^2

Answer 8

in fact at x=-9, g(-9)=0, like in your drawing