Quadratic Equation

quadratic_equation(first_constant, second_constant, third_constant, precision=4)

Generates a quadratic function to provide evaluations at variable inputs

Parameters

  • first_constant (int or float) – Coefficient of the quadratic term of the resultant quadratic function; if zero, it will be converted to a small, non-zero decimal value (e.g., 0.0001)

  • second_constant (int or float) – Coefficient of the linear term of the resultant quadratic function; if zero, it will be converted to a small, non-zero decimal value (e.g., 0.0001)

  • third_constant (int or float) – Coefficient of the constant term of the resultant quadratic function; if zero, it will be converted to a small, non-zero decimal value (e.g., 0.0001)

  • precision (int, default=4) – Maximum number of digits that can appear after the decimal place of the resultant roots

Raises

  • TypeError – First three arguments must be integers or floats

  • ValueError – Last argument must be a positive integer

Returns

evaluation – Function for evaluating a quadratic equation when passed any integer or float argument

Return type

func

See also

quadratic_derivatives(), quadratic_integral(), quadratic_roots(), quadratic_model()

Notes

  • Standard form of a quadratic function: \(f(x) = a\cdot{x^2} + b\cdot{x} + c\)

  • Quadratic Functions

Examples

Import quadratic_equation function from regressions library
>>> from regressions.analyses.equations.quadratic import quadratic_equation
Create a quadratic function with coefficients 2, 3, and 5, then evaluate it at 10
>>> evaluation_first = quadratic_equation(2, 3, 5)
>>> print(evaluation_first(10))
235.0
Create a quadratic function with coefficients 7, -5, and 3, then evaluate it at 10
>>> evaluation_second = quadratic_equation(7, -5, 3)
>>> print(evaluation_second(10))
653.0
Create a quadratic function with all inputs set to 0, then evaluate it at 10
>>> evaluation_zero = quadratic_equation(0, 0, 0)
>>> print(evaluation_zero(10))
0.0111