Write a quadratic function whose zeros are 7 and 3 .

To create a quadratic function with zeros at 7 and 3, you can use the factored form of a quadratic, , where and are the zeros. Substituting in our zeros:

If we take for simplicity, we can expand this:

So, the quadratic function is:

Did you know that the standard form of a quadratic function, , helps identify key features such as the vertex and axis of symmetry? When you convert from the factored form, you’re not just seeing the zeros but also understanding how the function behaves overall!

In real-world applications, quadratic functions are used to model various phenomena like projectile motion. When you throw a ball, for instance, its height over time can be represented by a quadratic function, which helps determine things like maximum height and the time it takes to hit the ground again!