For y=ax2/(x+b), where a 0, a graph of x2/y against x has gradient 1/3 and intercept -2. Find a,b, w

Question

For y=ax2/(x+b), where a 0, a graph of x2/y against x has gradient 1/3 and intercept -2. Find a,b, write the original law, and state the original values of x excluded by this transformed plot.

Accepted Answer

$a=3,b=-6;\ y=3x^2/(x-6)$. The transformed plot excludes $x=0,6$.

Recovering reciprocal coefficients

Recovering reciprocal coefficients

Solution:

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