Question

Express parametrically a point on a parabola (y-1) ssquare=x

Answer 1

Answer:

Conversely, given a pair of parametric equations with parameter t, the set of points (f(t), g(t)) form a curve in the plane.

As an example, the graph of any function can be parameterized. For, if y = f(x) then let t = x so that

x = t,   y = f(t).

is a pair of parametric equations with parameter t whose graph is identical to that of the function. The domain of the parametric equations is the same as the domain of f.

Example The parametric equations

x = t,   y = t2