[br][b]Vertex form[/b] 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 explore how changing the values of [b]a[/b], [b]h[/b], and [b]k[/b] will transform the graph. [br][br]Remember, if the[i] x values[/i] are changing, the graph will move along the [i]x-axis (horizontally)[/i]. If the [i]y values[/i] are changing, the graph will move along the [i]y-axis (vertically)[/i].
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]