Chapter 12.1

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

1

Finding y-intercepts from quadratic equations in general form

2

Solving for x-intercepts by factoring trinomials

3

Calculating vertex coordinates using x-intercepts and substitution

4

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 valuesGraphing linear functions using x- and y-interceptsGraphing linear functions using various formsIntroduction to quadratic functions

This Unit Includes

1 Video lesson

Skills

Quadratic Functions
Parabolas
Intercepts
Vertex
Factoring
Graphing
General Form
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