Learning how to graph a quadratic in vertex form with the vertex only being translated

The video tutorial focuses on understanding the concept of a vertex in a graph, represented as H&K, and how to identify it. It explains the process of shifting graphs by changing the vertex while maintaining the graph's shape. The tutorial emphasizes the importance of understanding the relationship between the vertex and graph shifts, using practical examples to illustrate these concepts. The teacher uses a step-by-step approach to demonstrate how to move the vertex and apply these shifts in graphing exercises.

What is the vertex form of a quadratic equation?

• Y = aX^2 + bX + c

• Y = aX^2 + c

• Y = a(X - H)^2 + K

• Y = a(X + H)^2 + K

How does the graph change when 'a' equals 1?

• The graph rotates around the origin.

• The graph shifts without changing shape.

• The graph is compressed horizontally.

• The graph is stretched vertically.

What happens to the graph when you change the vertex?

• The graph shifts to a new position.

• The graph disappears.

• The graph's shape changes.

• The graph becomes a straight line.

If the vertex is at (-5, 1), what is the equation of the graph?

• Y = (X - 5)^2 - 1

• Y = (X - 5)^2 + 1

• Y = (X + 5)^2 + 1

• Y = (X + 5)^2 - 1

What is the result of moving the vertex from (0,0) to (-5,1)?

• The graph is stretched.

• The graph is compressed.

• The graph is rotated.

• The graph is shifted.