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0:10 3:33 Suggested clip Converting from Cartesian to Parametric Form (How to) — Algebra YouTubeStart of suggested client of suggested clip Converting from Cartesian to Parametric Form (How to) — Algebra
0:10 3:33 Suggested clip Converting from Cartesian to Parametric Form (How to) — Algebra YouTubeStart of suggested client of suggested clip Converting from Cartesian to Parametric Form (How to) — Algebra
0:10 3:33 Suggested clip Converting from Cartesian to Parametric Form (How to) — Algebra YouTubeStart of suggested client of suggested clip Converting from Cartesian to Parametric Form (How to) — Algebra
0:58 18:33 Suggested clip Polar Equations to Rectangular Equations, Precalculus, Examples YouTubeStart of suggested client of suggested clip Polar Equations to Rectangular Equations, Precalculus, Examples
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. A curve in the plane is said to be parameterized if the set of coordinates on the curve, (x, y), are represented as functions of a variable t.
0:10 3:33 Suggested clip Converting from Cartesian to Parametric Form (How to) — Algebra YouTubeStart of suggested client of suggested clip Converting from Cartesian to Parametric Form (How to) — Algebra
To find this equation, you need to solve the parametric equations simultaneously: If y = 4t, then divide both sides by 4 to find (1/4)y = t. This newly found value of t can be substituted into the equation for x: x = 2 + (1/4(y))2 — expand the bracket (square both 1/4 and y) to derive x = 2 + 1/16 y2.
Parametric equations come in pairs. For example, given x(t)=4t and y(t)= t^2, the goal is to eliminate “t” while combining the two equations. To do this, solve for “t” of the easier equation. X(t)=4t turns into t=x/4. Take that and substitute it into the “y” equation which gives you y=(x/4)^2, and you are done!
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