Identifying the Graphs of Linear, Quadratic, Cubic and Reciprocal Functions

Explore the graphical representations of linear, quadratic, cubic, and reciprocal functions interactively.

Linear

y = mx + c

Definition: A linear function represents a straight line where m is the slope and c is the y-intercept.

Quadratic

y = ax² + bx + c

Definition: A quadratic function represents a parabola, where a controls the opening direction and width.

Cubic

y = ax³ + bx² + cx + d

Definition: A cubic function describes curves with inflection points, often used in polynomial modeling.

Reciprocal

y = a/x

Definition: A reciprocal function represents a hyperbola, where the graph has asymptotes and never touches zero.

Interactive Graph

Quiz

What is the graph of y = 2x + 1?