k3attosKris
Answered

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 + 9)^2

g(x) = (x + 5)^2

g(x) = (x − 9)^2

g(x) = (x − 5)^2

Verified Answer :

celestialflames15

Your Answer: G(x) = (x − 5)²

I just finished my semester exam, and this was one of the questions. I guessed on this question because I had no clue of what the answer was, and lucky me, I got the question right :D

Hope this helps y'all with your test :)

MrRoyal

The function that is based on the translation is g(x) = (x + 5)^2

How to determine the translation?

The function f(x) is given as:

f(x) = (x + 7)^2

The function f(x) is translated 2 units right to get function g(x)

This means that:

g(x) = f(x - 2)

So, we have:

f(x - 2) = (x -2 + 7)^2

Evaluate

f(x - 2) = (x + 5)^2

This gives

g(x) = (x + 5)^2

Hence, the function that is based on the translation is g(x) = (x + 5)^2

Read more about translation at:

https://brainly.com/question/8959437

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