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) = x^2 + 18x + 81

g(x) = x^2 + 10x + 25

g(x) = x^2 + 14x + 47

g(x) = x^2 + 14x + 51

Answer 1

@kky

Answer 2

let me attach the graph

Answer 3

A few people tried to help me with this problem but they did't really understand it either

Answer 4

ok

Answer 5

see it is a parabola

Answer 6

and i its vertex is 0 ,-9

Answer 7

how do you know what the vertex is?

Answer 8

by the graph

Answer 9

but is it the highest point of g(x)?

Answer 10

sorry the minimum point

Answer 11

yeah that is vortex

Answer 12

ok

Answer 13

We can check this easily
the graph of f(x) that is
\[y=(x+7)^2\] has root at (0,-7) or it's vertex/turning point
so the graph of g(x) has it's vertex/turning point or root at (0,-9) you can check through the graph
so just replace the 7 with 8 and you are done
\[g(x)=(x+9)^2\]