Homework 4: Graphing Quadratic Equations and Inequalities
Welcome back to the Algebra 2 series! In this homework assignment you’ll deepen your understanding of how to graph quadratic equations and the related inequalities. Mastering these visual tools not only helps you ace tests, but also builds a solid foundation for calculus, physics, and many real‑world applications.
Why Graphing Matters
When you graph a quadratic you instantly see its vertex, axis of symmetry, and direction of opening. These features tell you where the function reaches its maximum or minimum, and they guide you in solving inequalities such as f(x) ≥ 0 or f(x) 0) or downward (a ) or greater than or equal to ( ≥ ): Shade the region above the parabola. Use a solid line for “≥” (the curve is part of the solution) and a dashed line for “>
