Given the vertex and a point, write the equation of a parabola in vertex and standard form

The video tutorial explains how to write the equation of a quadratic in vertex form using given information. It covers the importance of understanding vertex and standard forms, how to identify and use the vertex (H, K) and points (X, Y) in the equations, and the process of solving for 'a'. The tutorial also touches on the concept of slope in quadratic equations, emphasizing that the slope is not constant. Finally, it demonstrates how to simplify the equation to its final form.

What are the two forms in which a quadratic equation can be written?

What do the letters H and K represent in the vertex form of a quadratic equation?

How do you plug in the values of H and K into the vertex form equation?

Explain the process of finding the value of 'a' in the quadratic equation.

What is the significance of the slope in a quadratic equation?