To change a quadratic equation from vertex form to standard form, it's really simple!

First, let’s look at what the vertex form looks like:

$y = a(x - h)^2 + k$

In this equation, $(h, k)$ is called the vertex. Now, the standard form looks like this:

$y = ax^2 + bx + c$

Here's how to switch from vertex form to standard form:

1. Expand the quadratic: Start by distributing $a$ across the squared part.

   The expression $(x - h)^2$ expands to $x^2 - 2hx + h^2$.

2. Multiply by $a$: Now, take what you got and multiply it by $a$.

   So, $a(x - h)^2$ turns into $ax^2 - 2ahx + ah^2$.

3. Add $k$: Lastly, just add $k$ to the equation.

   This gives you $y = ax^2 - 2ahx + (ah^2 + k)$.

And that's it! You’ve turned the equation from vertex form to standard form!