Function HELP

[cjrwatson]

I need help with # 11 boxed in the attached jpg file. It refers to a graph, but I don't think the graph is needed. I thought just substitution would work but there are too many variables. Please help. Thanks.

 

[Dr.Peterson]

There is enough information; but they've presented it in a way that is likely to fool you (e.g. using h and k in a way different from the usual). And the graph, which you did show, is very definitely needed!

Don't just substitute; think about what possible translations are involved.

Please show your thinking in some detail, so we can see how close you are.

 

[cjrwatson]

Thanks Dr. Peterson for your response.

Its still confusing. I get a little about the shifting with h and k. How about a hint or an example to pull from or reference.

 

[Otis]

… It refers to a graph, but I don't think the graph is needed …

Hi cjr. The graph is needed because the question asks about a point on the graph, after the graph has been shifted horizontally by k units and vertically by h units.

Have you learned about shifted graphs? That is, how does the graph of a function change, if all the inputs are increased or decreased by a constant? For example, how does the graph of h(x-1) differ from the graph of h(x)?

If you're not familiar with horizontal/vertical shifts, let us know, and we can provide an example. Understanding the roles played by parameters k and h is what the exercise requires.

We also need to pay careful attention to the given signs of k and h. (They didn't specify that k is also an integer, but we ought to assume that it is.)

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