Quadratic function

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).

Value

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

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).

Examples

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