Question

What is the standard form of `y= (3/2x-4)^2+1`?

Answer 1

`y=9/4x^2-12x+17`

Explanation:

`"the standard form of a quadratic is ";ax^2+bx+c;a!=0`

`"to obtain this form expand and collect like terms"`

`y=(3/2x-4)(3/2x-4)+1`

`color(white)(y)=9/4x^2-6x-6x+16+1`

`color(white)(y)=9/4x^2-12x+17larrcolor(red)"in standard form"`