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# What Is the Definition of "quadratic Function"?

**A quadratic function is a function of the form f(x) = ax^2 + bx + c where a, b and c are constants.** Part of the definition of a quadratic function is that a is not equal to zero, although b and c can equal zero.

The graph of a quadratic function, y = ax^2 + bx + c, is a parabola. This parabola has one stationary point, which is a maximum point if a is negative or a minimum point if a is positive. A quadratic function is a type of polynomial function. Quadratic functions can have one, two or no real roots.

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Q:
## What Is a Rational Parent Function?

A: A rational parent function is the most basic rational function whose form is imitated by all other rational functions, and it is written as f(x) = 1 / x. R... Full Answer >Filed Under: -
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## How Do You Change a Quadratic Function to Vertex Form?

A: Change a quadratic function to its vertex form by applying a process called completing the square, then isolate the y variable on one side of the equation.... Full Answer >Filed Under: -
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## What Is the Method for Graphing Quadratic Functions in Vertex Form?

A: When a quadratic function is presented in vertex form, it contains within it the coordinates of the vertex or turning point of the function. Using this as ... Full Answer >Filed Under: -
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## What Does Linear Mean in Mathematics?

A: In mathematics, linear refers to an equation or function that is the equation of a straight line and takes the form y = mx + b, where "m" is equal to the s... Full Answer >Filed Under: