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