fn_quad: Quadratic function

In flexFitR: Flexible Non-Linear Least Square Model Fitting

Quadratic function

Description

A standard quadratic function of the form f(t) = a * t^2 + b * t + c, where a controls curvature, b is the linear coefficient, and c is the intercept.

Usage

fn_quad(t, a, b, c)

Arguments

t	A numeric vector of input values (e.g., time).
a	The quadratic coefficient (curvature).
b	The linear coefficient (slope at the origin).
c	The intercept (function value when t = 0).

Details

f(t; a, b, c) = a \cdot t^2 + b \cdot t + c

This function represents a second-degree polynomial. The sign of a determines whether the parabola opens upward (a > 0) or downward (a < 0).

Value

A numeric vector of the same length as t, representing the quadratic function values.

Examples

library(flexFitR)
plot_fn(fn = "fn_quad", params = c(a = 1, b = 10, c = 5))

flexFitR documentation built on April 16, 2025, 5:09 p.m.