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- brodybarnes35

The graphs of f(x) and g(x) are shown below:
graph of function f(x) open upward and has its vertex at (-7, 0). Graph of function g(x) opens upward and has its vertex at (-7,-2).
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 + 7)^2 + 2
g(x) = (x + 7)^2 − 2

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- brodybarnes35

- katieb

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- brodybarnes35

- brodybarnes35

some one help FAN AND MEDAL

- Hero

Where are the "graphs" of f(x) and g(x)?

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- brodybarnes35

- brodybarnes35

Srry thats the graph...

- brodybarnes35

- Hero

So what are your thoughts regarding this problem? How much of this do you already understand and how far have you gotten in your attempts to find the equation for g(x)?

- brodybarnes35

i have attempted many times and i do not know like anything about this problem or how to do it

- brodybarnes35

if you could explain that would be awesome

- Hero

Well, let's start with figuring out where the points are in relation to each graph. We know that (-7,0) is on the graph of f(x). And (-7,-2) is on the graph of g(x). Do you think you can describe where (-7,-2) is in relation to (-7,0)?

- brodybarnes35

the x values

- brodybarnes35

?

- Hero

If you were to plot each point on an xy plane, you'd see that (-7,-2) is two units below (-7,0).

- brodybarnes35

ahhhh so D?

- Hero

According to the question asked in the problem, g(x) is a "translation" of f(x) so all we need to do is find the equivalent of that for the equation of f(x).

- Hero

Yes, D is correct.

- brodybarnes35

Thanks can u help with like a couple more?

- brodybarnes35

@Hero please

- Hero

Close this one and post your next question as a new one.

- brodybarnes35

ok

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