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Constants on reciprocal axes

Constants on reciprocal axes

4 marks
TGM Original
Variables satisfy y=ax2+bx. A graph of y/x2 against 1/x has gradient 6 and vertical intercept -2. Find a,b, write the law, and state the restriction on transformed data.

Solution:

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Answer:\(a=-2,b=6;\ y=-2x^2+6x\), transformed data require \(x\ne0\).

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