Quadratic function in general form: y = ax^2 + bx + c

What You'll Learn

Identify y-intercepts by evaluating the constant term in general form

Calculate x-intercepts by setting y to zero and factoring the quadratic equation

Determine the vertex by finding the midpoint of x-intercepts and substituting back

Sketch accurate parabola graphs using intercepts and vertex coordinates

Verify parabola direction by analyzing the sign of the leading coefficient

What You'll Practice

Finding y-intercepts from quadratic equations in general form

Solving for x-intercepts by factoring trinomials

Calculating vertex coordinates using x-intercepts and substitution

Graphing complete parabolas from intercepts and vertices

Why This Matters

Mastering quadratic functions in general form prepares you for advanced algebra, physics, and calculus. Graphing parabolas is essential for modeling real-world scenarios like projectile motion, profit maximization, and engineering design problems you'll encounter throughout STEM courses.

Before You Start — Make Sure You Can:

Graphing linear functions using table of values Graphing linear functions using x- and y-intercepts Graphing linear functions using various forms Introduction to quadratic functions

This Unit Includes

1 Video lesson

Skills

Quadratic Functions

Parabolas

Intercepts

Vertex

Factoring

Graphing

General Form

OH Curriculum Aligned