GeoGebra Classroom

# Transformation of a Quadratic Function

## By the end of this lesson you will be able to:

• Graph and identify quadratic functions using a vertical shift.
• Graph and identify quadratic functions using a horizontal shift.
• Graph and identify quadratic functions using a stretch or shrink.

## Student Response #1

In your own words describe the difference between a vertical and horizontal shift on the parent function.

Create a quadratic function with a slider that has a vertical shift between 3 units up and down, and a horizontal shift between 2 units left and right.

## Student Response #2

The previous slider was an example of a vertical stretch. What would you do to a quadratic function to create a vertical shrink?

## Student Construction #2

Construct a slider that would show a vertical stretch between 1/16 and 1/2.
• Observe the given point.
• Drag it on the slider and notice the change in the function.
• Notice the change in point A.

## Point A

Where would point A (1, 1) be located on a the given quadratic function: