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24 votes
24 votes
I think the answer is option 3. Can you please advise if I am correct? Thanks!

I think the answer is option 3. Can you please advise if I am correct? Thanks!-example-1
User Jhonkola
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2.9k points

1 Answer

19 votes
19 votes

We need to describe how to transform the graph of f into the graph of g.

We have:


\begin{gathered} f(x)=x^4 \\ \\ g(x)=-(-x)^4 \end{gathered}

Notice that:


(-x)^4=x^4

Then, we have:


g(x)=-x^4=-f(x)

Now, when we change the sign of the whole expression for a function this is equivalent to reflecting the graph of the function across the x-axis:

Answer:

I think the answer is option 3. Can you please advise if I am correct? Thanks!-example-1
I think the answer is option 3. Can you please advise if I am correct? Thanks!-example-2
User Zgirod
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2.2k points