This subject covers the foundational concepts and skills of algebra as outlined in the Common Core standards for high school students.
Quadratic equations are equations where the highest variable exponent is 2. They look like \( ax^2 + bx + c = 0 \).
Factoring: Rewrite the equation as a product with zero.
Quadratic Formula: Use the special formula:
\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]
Completing the Square: Another powerful method.
Quadratics graph as U-shaped curves called parabolas. The vertex is the highest or lowest point.
Solve \( x^2 - 4 = 0 \) → \( x = 2 \) or \( x = -2 \)
Graph \( y = x^2 - 3 \) to see a parabola opening upward.
Quadratic equations lead to parabolas, and show up in motion and patterns.