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?

Answer 1

@pooja195

Answer 2

@ThereisnoUsername

Answer 3

first of all what kind of translation are we looking at

Answer 4

@baru

Answer 5

@MrNood

Answer 6

@Sachintha

Answer 7

you have two graphs there
one looks like the graph of \(y=(x+7)^2\) and the other is the graph of \(y=(x+9)^2\)

Answer 8

It should be \(y=(x+5)^2\)

Answer 9

multiply out
g(x)=(x+9)^2

Answer 10

and you should get
g(x) = x2 + 18x + 81

Answer 11

these are the answer choices

g(x) = (x + 9)2
g(x) = (x + 5)2
g(x) = (x − 9)2
g(x) = (x − 5)2

Answer 12

Since the graph has moved two units to the right,
\(g(x)=(x+7-2)^2=(x+5)^2\)

Answer 13

then you dont have to multiply the 2, just go a step up where i said you then have g(x)=(x+9)^2

Answer 14

Yes g(x) has a horizontal translation 2 spaces to the right compared to f(x)
And the answer is
G(x)=(x-5)^2

Answer 15

You guys gave me 3 different answer choices

Answer 16

no, i thought you wanted the complete answer so i went from
g(x)=(x+9)^2
to
g(x) = x2 + 18x + 81,
if you dont need the complete answer then the one you do need is right there ^^^