Exploring Vertex Form
- Author:
- madeline.gage
Exploration
A quadratic function can be written in Vertex Form , where the variables and control different transformations. One at a time, move each slider and notice how it is changing the quadratic parent function .
How does changing the value affect the graph?
How does changing the value affect the graph?
How does changing the value affect the graph?
One at a time, turn on each equation and use the sliders to match the black quadratic parent function with the new transformed function.
Input different values for a, h, and k until the red parabola models a trajectory that will launch the Angry Bird in the catapult into the green pig.
Record the equation you created to model the Angry Bird situation here.
Check and un-check the boxes to see how the parabola is affected when it is reflected over the x-axis and y-axis.
What do you notice when the parabola is reflected over the x-axis? y-axis?