How to write an equation in standard and vertex form given a point and vertex

The video tutorial explains how to write the equation of a parabola in both vertex and standard forms. It begins by introducing the concepts of vertex and standard forms, followed by a detailed explanation of the vertex and points in a parabola. The instructor demonstrates how to plug values into the vertex form equation and then convert it to standard form. The tutorial concludes with a summary and an invitation for questions.

What letters are used to represent the vertex in the vertex form equation?

• A & B

• X & Y

• H & K

• M & N

In the vertex form equation, what does the coordinate point (X, Y) represent?

• The focus of the parabola

• The axis of symmetry

• Any point on the graph

• The vertex of the parabola

What is the first step in finding the value of 'a' in the vertex form equation?

• Adding X and Y

• Plugging in the values of X, H, and K

• Subtracting K from Y

• Multiplying X and H

Which method can be used to expand the expression (X - 3)^2?

• Substitution method

• Distributive property

• Graphical method

• FOIL or box method

What is the final step in converting an equation from vertex form to standard form?

• Adding the vertex coordinates

• Using the distributive property

• Finding the axis of symmetry

• Solving for Y