The video discusses the game "Super Mario Quadratics" created by math teacher John Rowe using Desmos.com, a free online graphing calculator. The game combines math and gaming, requiring players to use quadratic functions to navigate Mario through levels. The narrator explains the basics of quadratic functions, including how to shift, stretch, and invert parabolas, and demonstrates how to apply these concepts to play the game. As the game progresses, the narrator encounters more complex challenges, including using non-quadratic functions and piecewise functions to solve problems. Ultimately, the narrator successfully uses a combination of functions to rescue the princess, demonstrating the power of math in a fun and engaging way.
Here are the key facts extracted from the text:
1. Super Mario Quadratics is a game created inside desmos.com, a free online graphing calculator.
2. The game was created by a math teacher named John Rowe.
3. The path of an object under the influence of Earth's uniform gravitational field follows the shape of a parabola.
4. A parabola can be described by a quadratic function.
5. A function is a mapping between an input set of numbers and an output set of numbers.
6. The equation y=x represents a linear function where the output value is equal to the input value.
7. By adding a number to x^2, the parabola can be shifted up or down.
8. By adding a number to x before squaring it, the parabola can be shifted left or right.
9. Multiplying x^2 by a number can make the parabola thinner or fatter.
10. If the coefficient of x^2 is negative, the parabola will be inverted.
11. The game Super Mario Quadratics requires the player to use quadratic equations to navigate Mario through levels.
12. The player can adjust the quadratic equation to change the shape and position of Mario's jump.
13. The game allows the player to experiment with different functions, including non-quadratic ones.
14. The player can use piecewise functions to create a customized path for Mario.