# How do you write the standard form equation of the parabola # y = x^2 - 6x + 14#?

##### 1 Answer

#### Explanation:

The equation is already in standard form, seeing as it is ordered from higher to lower exponent. However, to find the **vertex form** of the equation, we need to convert the **square of a difference**. We need to remember that:

and vice versa. Now, let's take a look at the terms containing an

Not as much as a perfect square, but if

However, we can't just do that, since that changes the equation. To "keep the balance", we need to also subtract

Using the expression above, factor the first three terms into a difference of squares, then do the subtraction

In general, the vertex form helps us find the vertex of a parabola. If the vertex form is