1. The problem is to convert a quadratic equation from vertex form to standard form. 2. The vertex form of a quadratic equation is given by $$y = a(x-h)^2 + k$$ where $(h,k)$ is the vertex. 3. The standard form of a quadratic equation is $$y = ax^2 + bx + c$$. 4. To convert from vertex form to standard form, expand the squared term and simplify. 5. Start with $$y = a(x-h)^2 + k$$. 6. Expand the square: $$y = a(x^2 - 2hx + h^2) + k$$. 7. Distribute $a$: $$y = ax^2 - 2ahx + ah^2 + k$$. 8. Combine constants: $$y = ax^2 + (-2ah)x + (ah^2 + k)$$. 9. Now the equation is in standard form with $a$, $b = -2ah$, and $c = ah^2 + k$. 10. This process shows how to rewrite the quadratic from vertex form to standard form by expanding and simplifying.