It is sometimes useful to rewrite equations in rectangular form (i.e., y = f(x)) into parametric form, and vice--versa. Converting from rectangular to parametric can be very simple: given y = f(x), …

Parameterizing a curve involves translating a rectangular equation in two variables, [latex]\,x\, [/latex]and [latex]\,y,\, [/latex]into two equations in three variables, x, y, and t.

A rectangular equation, or an equation in rectangular form is an equation composed of variables like x and y which can be graphed on a regular Cartesian plane. For example y = 4 x + 3 is a …

Trigonometry: Polar and Rectangular Equations Notes, Examples, and Quiz (with solutions) Topics include converting from polar to rectangular forms, graphing conics, eccentricity, …

We have graphed plane curves that are composed of sets of ordered pairs (x, y) in the rectangular coordinate plane. Now we discuss a way to represent plane curves in which x and y are …

Replace t t in the equation for y y to get the equation in terms of x x. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions …

Write two new sets of parametric equations for the following rectangular equations. 13. For the parametric equations x = t and y = t2 . Sketch the graph. Graph x = t – 1 and y = t2. How does …

Sketch curves that are represented by sets of parametric equations. Rewrite sets of parametric equations as single rectangular equations by eliminating the parameter. Find sets of …

Parameterizing a curve involves translating a rectangular equation in two variables, [latex]x [/latex] and [latex]y [/latex], into two equations in three variables, x, y, and t.

Given the following parametric equations, eliminate the parameter t to write a rectangular equation for y as a function x.  Then use an inequality to state the domain of the rectangular function.