Standard Form of the Quadratic Function

How do you go from standard form to vertex form?

• We need to find the vertex of the parabola using the formula to find the $X$ vertex.
• Let's find the $Y$ vertex.
• Let's place in the vertex form template the $X$ vertex instead of $P$, the $Y$ vertex instead of $C$ and the $a$ instead of $a$.

How do you go from standard form to factored form?

• Let's find the points of intersection of the parabola with the $x$ axis.
• Let's place it in the factored form template.

Look!
If we were to realize that in the standard form there is a coefficient for $X^2$ we will place it in the factoring formula before locating the intersection points there, as follows:

$y=a\times(x-t)\times(x-k)$