Transformations of Quadratics
Vertex Form
Vertex form is another way to represent a Quadratic.
Use the graph below to understand how changing the values of a, h, and k will transform the graph.
Remember, if the x values are changing, the graph will move along the x-axis (horizontally). If the y values are changing, the graph will move along the y-axis (vertically).
Assign a k value using the sliding bars such that k > 1. How does this change the graph?
Using the sliding bars, assign a value for h such that h>0. Does the equation show a positive or negative h?
What values are changed by k?
What values are changed by h?
Given this equation, what will be the vertex of the graph?
How will (-a) change a quadratic graph?
Given this equation, what will be the vertex of the graph?