Graphing Quadratic Functions
Plot y = ax² + bx + c parabolas. Find vertex, roots, and axis of symmetry with AI help.
AI Analysis
📈
Type an equation above
and click Analyze to understand it
Practice Graphing For
JEE Main
Coordinate Geometry
SAT Math
Functions & Graphs
CBSE Class 11
Straight Lines
AP Calculus
Graph Analysis
Want unlimited AI analysis?
Sign up free — AI equation solver, quizzes & flashcards included
Sign up free →About Quadratic Functions
A quadratic function y = ax² + bx + c graphs as a parabola. If a > 0, the parabola opens upward with a minimum at the vertex. If a < 0, it opens downward with a maximum.
The vertex is the turning point at x = -b/(2a). The roots(where y = 0) are found using the quadratic formula: x = (-b ± √(b²-4ac)) / (2a). The discriminant b²-4ac tells you: positive = 2 real roots, zero = 1 root (touches axis), negative = no real roots.
Graphing parabolas is essential for SAT Math (quadratic models, vertex form),JEE Main (conic sections, quadratic equations), andCBSE Class 10 (quadratic equations chapter).