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HELPPPPP!!!!!!!!!!!!Consider the function g(x), which is shown below. How will the graph of g(x) differ from the graph of f(x)?

g(x)=f(x-6)=10^(x-6)

2 Answers

6 votes

Answer:

The answer is B

Explanation:

User Vashtee
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5 votes

Answer:

Explanation:

The function \(g(x) = f(x-6) = 10^{(x-6)}\) is obtained by taking the function \(f(x) = 10^x\) and replacing \(x\) with \((x-6)\). This means that for every point on the graph of \(f(x)\), the corresponding point on the graph of \(g(x)\) will be shifted 6 units to the right.

In other words, the graph of \(g(x)\) will be the same as the graph of \(f(x)\), but it will be horizontally shifted 6 units to the right. The general shape of the graph will remain the same, but all points on the graph will have their x-coordinates increased by 6.

Here's a rough representation of how the graph of \(g(x)\) will differ from the graph of \(f(x)\):

```

f(x) | g(x)

|

|

|

**********************

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|

|

```

The \(x\)-coordinates of all points on the graph of \(g(x)\) will be 6 units greater than the corresponding points on the graph of \(f(x)\).

User Singletony
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