Question

WILL AWARD MEDAL!
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

@jim_thompson5910 @marissalovescats

Answer 2

@mathmate @wolf1728

Answer 3

f(x)=(x+7)^2=(x- -7)^2
means that the vertex is at (0,-7)
The graph shows that the g(x) has the vertex at (0,-5), so the equation should be
g(x)=(x- -7)^2
Can you find which one fits the bill?

Answer 4

can you elaborate a little more, im still a little confused.

Answer 5

As I mentioned, the vertex is at (-7,0) (sorry, not (0,-7).

Answer 6

for g(x), the vertex can be read as (-5,0).

Answer 7

So
the new function is represented by g(x)=(x- -5)^2
If you expand it, it will be the correct function.

Answer 8

Thank You!