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If a quadratic function has two zeros, the graph of the reciprocal will have three parts. (Divided by the two vertical asymtotes)

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-> The middle part will reach a maximum or minimum point
-> This point will be equidistant from the two vertical asymtotes
-> Equidistant-same distance apart.

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1. Find the vertical and horizontal asymptotes
2. Determine the behaviour of the function near the asymptotes
3. Find the x and y intercepts
4. Find the maximum or minimum point

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Make a summary table with the headings shown for each graph.

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When x<-2, the sign of f(x) is negative, and the sign of the slope is negative too, the change in slope will be decreasing.

When -2<x<0, the sign of f(x) is positive, but the sign of the slope is negative, the change in slope will be increasing.

When x=0, the sign of f(x) is positive, and the  sign of the slope is 0, the change in slope will be N/A.

When 0<x<2, the sign of f(x) is positive, and the sign of the slope is positive, the change in slope will be increasing.

When x>2, the sign of f(x) is negative, but the sign of the slope is positive, the change in slope will be decreasing.

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recognise a reciprocal graphWhich is the correct equation for the graph?