What is the standard form of $y=(3-x)(3x-1)$ ?

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Answer 1 · 2016-01-05T18:15:33

$y=-3x^2+10x-3$

Multiply the brackets out term by term and collect like terms to obtain

$y=9x-3-3x^2+x$

$therefore y=-3x^2+10x-3$ .

This is the standard form of a quadratic function of the 2nd degree and its graph is a parabola as shown :

graph{-3x^2+10x-3 [-8.49, 16.83, -6.09, 6.57]}

What is the standard form of y=(3-x)(3x-1)y=(3-x)(3x-1)?