# How do you write # y=2x^2+4x+4# in vertex form?

##### 1 Answer

#### Explanation:

Use the same process as for "Completing a square",

Treat the right hand side as an expression, rather than as an equation.

Vertex form is also known as the form

From this we can get the vertex (or the turning point) of a parabola as being

Step 1. Divide each term by 2 to change

Step 2. Complete the square by adding

If this was an equation, we would add the same to both sides. but as we are working with an expression, we will use additive inverses.

The first 3 terms inside the bracket now represent the square of a binomial, so we can write them like that, and simplify the last 2 terms.

Step 3. Multiply the 2 into the bracket and the answer is now in vertex form.