Quadratic functions and graphs

What you'll learn

1. 1

   Imagine a ball you throw in the air — it goes up, then comes back down. That path is a parabola, the graph of a quadratic function! 🏀

2. 2

   What shape does a quadratic graph make?

3. 3

   Drag the slider to change 'a' and see how the parabola changes shape. Try a = 1, then a = -2.

4. 4

   Let's sketch y = x² - 4x + 3 together. 📝

5. 5

   For y = x² - 4x + 3, what is the y-intercept?

6. 6

   Now you try! Sketch y = x² - 2x - 3 by finding the key points. Tap the correct roots.

7. 7

   What are the roots of y = x² - 2x - 3?