[br]Vertex form is another way to represent a Quadratic. [br][br][math]f\left(x\right)=a\left(x-h\right)^2+k[/math][br][br]Use the graph below to understand how changing the values of a, h, and k will transform the graph. [br][br]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.[br][br]How does this change the graph?
Using the sliding bars, assign a value for h such that h>0. [br][br]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?[br][math]f\left(x\right)=2\left(x-4\right)^2-5[/math]
How will (-a) change a quadratic graph?
Given this equation, what will be the vertex of the graph?[br][math]f\left(x\right)=a\left(x-h\right)^2+k[/math]