Changing Behavior of Quadratic Functions
Discover what it means for the graph of a quadratic function to be increasing or decreasing.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Move the points so that the parabola points up. Over what interval is the function increasing? Decreasing?
Move the points so that the parabola points down. Over what interval is the function increasing? Decreasing?
What happens when the points are horizontally or vertically aligned?
Try making a parabola that is only ever increasing or decreasing. Does it work? Why or why not? If yes, is it really a parabola?