Quadratic FunctionsBy: 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 + 5y = -6x2 + 4xf(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

Real World Examples

Real World Examples

Nature Examples

Nature Examples

Nature Examples