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

Jan 5, 2016

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

#### Explanation:

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

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

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

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]}