A linear function is a mathematical relationship that forms a straight line when graphed.

It is usually written in the form y = mx + b, where m is the slope and b is the y-intercept.

The graph of a linear function shows a constant rate of change.

A quadratic function is a second-degree polynomial written as y = ax² + bx + c.

The graph of a quadratic function is called a parabola.

A parabola can open upward or downward depending on the value of a.

Linear graphs are straight lines, while quadratic graphs are curved.

The vertex is an important point on a quadratic graph, representing its maximum or minimum value.

Linear functions have only one direction of change, but quadratic functions change direction at the vertex.

Both types of functions are important for modeling real-life situations in mathematics and science.