Quadratic Function
Definition
A quadratic function is a polynomial function of degree 2. It has the general form f(x) = ax^2 + bx + c, where a, b, and c are constants.
Analogy
Think of throwing a ball into the air. The path of the ball can be represented by a quadratic function because it follows a parabolic shape. The height of the ball at any given time can be calculated using this equation.
Related terms
Vertex: The highest or lowest point on the parabola formed by a quadratic function.
Axis of Symmetry: The vertical line passing through the vertex of a parabola.
Discriminant: In quadratic equations, it is b^2 - 4ac which determines how many solutions exist for the equation.
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