# How do you write #4y= x^2 - 2x - 31# into vertex form?

##### 1 Answer

#### Explanation:

The vertex form of a quadratic is given by

The "

Your equation is

**Step 1.** Divide both sides by the coefficient of

We convert to the "vertex form" by completing the square.

**Step 2.** Move the constant to the other side.

**Step 3.** Factor out the coefficient

**Step 4.** Square the new coefficient of

**Step 5.** Add and subtract this value inside the parentheses..

**Step 6.** Express the right hand side as a square.

**Step 7.** Distribute.

**Step 8.** Multiply.

**Step 9.** Isolate

**Step 10.** Combine like terms.

The equation is now in vertex form.