How to determine another point on a graph given two points and the equation

The video tutorial explains how to work with a vertex and a point to find another point by rewriting the equation in vertex form. It covers the concept of axis of symmetry and how to calculate it. The tutorial also demonstrates graphing points and reflecting them over the axis of symmetry. Finally, it addresses some mistakes and clarifies the correct approach to finding the vertex and plotting points.

What is the process to find another point given a vertex and a point?

How can you determine the axis of symmetry from a quadratic equation?

What is the formula for finding the axis of symmetry in a quadratic equation?

Explain how to reflect points across the axis of symmetry when graphing.

Describe the significance of the vertex in relation to the graph of a quadratic function.