Quadratic function
Master Quadratic function in Grade 9 Algebra 1. A quadratic function is a function that can be written in the form , where is not equal to 0. It is a polynomial with a degree of exactly 2.
Key Concepts
Property A quadratic function is a function that can be written in the form $f(x) = ax^2 + bx + c$, where $a$ is not equal to 0. It is a polynomial with a degree of exactly 2. $$ f(x) = \underset{\text{quadratic term}}{ax^2} + \underset{\text{linear term}}{bx} + \underset{\text{constant term}}{c}, \text{ where } a \neq 0 $$ Explanation Think of the $x^2$ term as the superstar of the function! The word "quadratic" comes from "quadratus," meaning square. If a function doesn't have an $x^2$ term as its highest power, it simply can't join the quadratic club. It’s the key ingredient for that U shaped graph. Examples $y + 5x = 2x^2 3$ simplifies to $y = 2x^2 5x 3$, which is a quadratic function. $y = 10 + 3x$ is not a quadratic function because it lacks an $x^2$ term. $y = 5x^3 + x^2$ is not a quadratic function because its highest power is 3, making it cubic.
Common Questions
What is Quadratic function in Algebra 1?
A quadratic function is a function that can be written in the form , where is not equal to 0. It is a polynomial with a degree of exactly 2.
How do you work with Quadratic function in Grade 9 math?
Think of the term as the superstar of the function! The word "quadratic" comes from "quadratus," meaning square. If a function doesn't have an term as its highest power, it simply can't join the quadratic club. It’s the key ingredient for that U-shaped graph.
Can you show an example of Quadratic function?
simplifies to , which is a quadratic function. is not a quadratic function because it lacks an term. is not a quadratic function because its highest power is 3, making it cubic. Think of a quadratic function like a special recipe where the term is the star ingredient! If that ingredient is missing, or if you add something with a higher power (like.