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  • 13-09-2017
  • Mathematics
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What effect does "a" have on the parent function y=1/x

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mreijepatmat
mreijepatmat mreijepatmat
  • 13-09-2017
y=1/x is a reciprocal function & its shape is a special hyperbola with one branch located in the 1st Quadrant and the second in the 3dr Quadrant and both are symmetric about the origin O.
If a> 1 → y=a/x  and the 2 branches are equally stretched upward & downward
about the center O.
If  0 < a < 1→y =a/x, the 2 branches are equally stretched downward and upward about the center O.
If a<0, then the 2 legs are in the 2nd and 4th Quadrant respectively

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