# 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?