Question

What is the vertex form of `y= 3x^2+5x+2`?

Answer 1

`y=3(x+5/6)^2-1/12`

Explanation:

See http://socratic.org/s/asFRwa2i for very detailed method

Using shortcuts:

Given:`" "y=3x^2+5x+2`

Write as `y=3(x^2+5/3x)+2`

So vertex form is

`y=3(x+5/6)^2-1/12`

Have a look at the solution http://socratic.org/s/asFRwa2i for detailed solution method. Different values but the method is ok!