Algebra 1 introduces students to the fundamental concepts of algebra, including variables, equations, and functions.
Quadratic equations are equations where the highest exponent on the variable is 2, like \( x^2 \). They describe curved lines called parabolas.
The standard form is \( ax^2 + bx + c = 0 \).
There are several methods:
Quadratics show up in physics (launching a ball), engineering, and even in games when something moves in a curve!
\[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]
Solve \( x^2 - 4 = 0 \) to get \( x = 2 \) or \( x = -2 \).
The path of a basketball shot can be modeled by a quadratic equation.
Quadratic equations involve \( x^2 \) and create U-shaped graphs called parabolas.