Quadratic Functions By: Cristina V. & Jasmine V..

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Presentation transcript:

Quadratic Functions By: Cristina V. & Jasmine V.

Definition  A quadratic function is a polynomial function of the form.  Equation: f(x) = ax2 + bx + c

Quadratic Equation  f(x) = ax2 + bx + c  where a, b and c are real numbers and a not equal to zero. The graph of the quadratic function is called a parabola. It is a U shaped curve that may open up or down depending on the sign of coefficient a.

Graphs

Quadratic Function Graphs

Examples  Standard Form: f(x) = y = ax2 + bx + c where a ≠ 0 f(x) = 3x2 -2x + 5 y = -6x2 + 4x f(x) = x2 + 7 y = -x2

Quadratic Examples y = 5x² + 2x + 5 y = 11x² + 22 y = x² − 4x +5 y = −x² + 5

Quadratic Graph Examples

Examples

Real World Examples

Nature Examples