When you start to learn about changing quadratic functions, it feels like giving the function a fun makeover! Just a little bit of moving, stretching, or squishing can really change how it looks and acts.
Vertical Shifts: If you add or take away a number in the function, like in , it makes the U-shaped graph move up or down. In this case, it goes up by 3 units.
Horizontal Shifts: If you add or take away a number inside the function, like in , it moves the graph left or right. Here, it moves to the right by 2 units.
Vertical Stretch: When you multiply the function by a number bigger than 1, like in , it makes the graph narrower. It stretches it up and down!
Vertical Compression: If the number is between 0 and 1, such as in , it makes the graph wider. It squishes it up and down.
In summary, knowing how to change these functions helps us understand how the graph will change. This is super helpful for solving problems and making graphs!
When you start to learn about changing quadratic functions, it feels like giving the function a fun makeover! Just a little bit of moving, stretching, or squishing can really change how it looks and acts.
Vertical Shifts: If you add or take away a number in the function, like in , it makes the U-shaped graph move up or down. In this case, it goes up by 3 units.
Horizontal Shifts: If you add or take away a number inside the function, like in , it moves the graph left or right. Here, it moves to the right by 2 units.
Vertical Stretch: When you multiply the function by a number bigger than 1, like in , it makes the graph narrower. It stretches it up and down!
Vertical Compression: If the number is between 0 and 1, such as in , it makes the graph wider. It squishes it up and down.
In summary, knowing how to change these functions helps us understand how the graph will change. This is super helpful for solving problems and making graphs!