How do I solve for vertex?

Hey there, I'm curious about how to solve for the vertex of a quadratic equation. Could you please walk me through the steps in a clear and concise manner? I've heard that the vertex represents the maximum or minimum point of the parabola, but I'm not sure how to find it mathematically. Also, is there a formula I can use to make the process faster? I'd really appreciate any insights you can offer. Thanks in advance!