Function and Quadratic Equation

Constants and variables in quadratic function

Where; a, b and c are constants and a ≠ 0, x is a variable

Form of quadratic expression

Types of relation

• One-to-one relation • One-to-many relation • Many-to-one relation • Many-to-many relation

All quadratic functions have the same image for two different objects

The type of relation of a quadratic function is a many-to-one relation

Representative of a point on a Cartesian plane

The x-coordinate is the object and the y-coordinate is the image

Two shapes of graph with the given function

The maximum or minimum point

Called a stationary point or a turning point

Maximum and minimum point

the maximum point is obtained when a < 0, the minimum point is obtained when a > 0

An axis of symmetry

A straight line that divides a geometrical shape or an object into two parts of the same size and shape

Maximum, minimum point and axis of symmetry