Graphing reciprocals of quadratic functions - Reciprocal Functions

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Graphing reciprocals of quadratic functions

We have learnt the basics of reciprocal functions. In this section, we will learn how to graph the reciprocal of a quadratic function, while applying the same principles we used when graphing the reciprocal of a linear function, while following the "6-steps Approach" noted below.

Lessons

Notes:
Steps to graph the reciprocal of a function:
1) Plot a horizontal asymptote
at
y=0y=0
2) Plot vertical asymptote(s)
equate the original function to 0; solve for xx
3) Plot y-intercept(s)
1y-intercept(s) of the original function\frac{1}{\text {y-intercept(s) of the original function}}
4) Plot invariant points:
equate the original function to +1 and -1; solve for xx
5) Plot
1vertex of the original function\frac{1}{\text {vertex of the original function}}
6) Place your pen at the invariant points, then smoothly move away while tracing along the asymptotes!
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Graphing reciprocals of quadratic functions

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