The confusion here seems to be about how translation and other transformations apply to the equation of a circle, which is not a function in the sense of passing the vertical line test but rather an implicit relation. Let's clear up the confusion: Translation: For the circle's equation $ (x - x_1)^2 + (y - y_1)^2 = r^2 $, the $ x_1 $ and $ y_1 $ terms represent the coordinates of the center of ...
If we want an equation $f (x, y)$ for the line, the domain of $f$ can only be the shadow of the line on the $xy$ plane. But any nice function $f$ will have as a domain either all pairs $ (x, y)$, or almost all of them.
What is the equation for a 3D line? - Mathematics Stack Exchange
I want to derive the equation of motion for the an average skydiver free falling to earth with air resistance, most the solution online doesn't use the drag force formula to avoid making the problem
MSN: How to use even and odd identities to solve a trig equation with secant
How to use even and odd identities to solve a trig equation with secant
MSN: How to solve an equation with the multiple angle of secant
Given a function f(x), and two points on the curve (a, f(a)) and (b, f(b)) the line joining these two points is called a secant line of f. (Not to be confused with the trigonometric secant (sec) ...