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

Mar 12, 2016

$y = 3 {\left(x + \frac{5}{6}\right)}^{2} - \frac{1}{12}$

#### Explanation:

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

Using shortcuts:

Given:$\text{ } y = 3 {x}^{2} + 5 x + 2$

Write as $y = 3 \left({x}^{2} + \frac{5}{3} x\right) + 2$

So vertex form is

$y = 3 {\left(x + \frac{5}{6}\right)}^{2} - \frac{1}{12}$

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