Converting standard form to vertex form

Hey!

The first step to solving this equation would be to factor . Now since  cannot be factored any further, this will be its final form.
The next step would be to factor the right side of the equation. To do this we'll first break the expression into groups.

Original Equation :


New Equation {Equation Grouped} :


Now we must also factor out  from  into . We'll also have to factor out  from  into .

Old Equation :


New Equation :


Finally, we must factor out the common term that is 

Old Equation :


New Equation :


And finally, we'll refine the equation.

Old Equation :


New Equation :


So, this means the answer is  .

Hope this helps!

- Lindsey Frazier ♥