How do I plot the graph of f(x) = 4/(x+3)?

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To plot the graph of f(x) = 4/(x+3), start by determining the function's domain and identifying key limits. Understanding the transformation from y = 1/x to y = 1/(x+3) is essential, as the latter represents a horizontal shift left by 3 units. The coefficient 4 indicates a vertical stretch of the graph. Familiarity with the basic shape of y = 1/x will aid in visualizing the transformed function. This foundational knowledge is crucial for accurately drawing the graph.
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Problem drawing graph, please help!

Hi everyone, I'm struggling to draw the graph of f(x) = 4/(x+3)

I'm just wondering how you go about plotting a graph like this and the process you use to do it. Thanks for your time
 
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Well, first think about the domain of the function. Then think about some limits of interest.

Btw, http://home.alltel.net/okrebs/page192.html" . :smile:
 
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Learn to draw y = 1/x, first then realize what transformation maps y = 1/x on to y = 1/(x+3). The 4 only represents a one-way stretch in the y-direction, doesn't it.
 

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