Question

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

Answer 1

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

Explanation:

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]}