A transformed data sketch

A transformed data sketch

6 marks
TGM Original
Variables satisfy y=a+bx2. The original data points are (1,5),(2,11),(3,21). Sketch the straight-line graph of Y=y against X=x2, labelling its intercept and all three transformed points, and find a,b.

Solution:

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Answer:\(a=3,b=2\); line \(Y=2X+3\) through \((1,5),(4,11),(9,21)\), intercept \((0,3)\).

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