Equation for this graph - is it parametric?

In summary, a parametric equation is a set of equations that describe the relationship between two or more variables, with one variable being defined in terms of another and both expressed as functions of a third variable called the parameter. Compared to regular equations, parametric equations can model more complex curves and surfaces and provide a more detailed and flexible representation of a graph. A graph is typically represented by a parametric equation if the coordinates can be expressed as functions of the parameter. However, not all graphs can be represented by a parametric equation, as some simple shapes can be represented by regular equations.
  • #1
caleytm
2
0
I can't seem to figure out the equation of the attached graph. I have tried polar, parametric, and cartesian, and I'm almost positive its parametric.
Does anyone know what the equation might be?
 

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  • #2
Look at the plot: x should be periodic, and y has to be combined from a monotonously increasing and a periodic part. Try something like x=sin(t), y=t+sin(2t) as in the figure attached and change constants to fit to the original one. ehild
 

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Last edited:

Related to Equation for this graph - is it parametric?

1. What is a parametric equation?

A parametric equation is a set of equations that describe the relationship between two or more variables. In a parametric equation, one variable is defined in terms of another variable, and both variables are usually expressed as functions of a third variable called the parameter.

2. How is a parametric equation different from a regular equation?

A regular equation typically describes a relationship between two variables, whereas a parametric equation describes a relationship between multiple variables, with one variable being dependent on the others. Parametric equations are often used to model complex curves and surfaces.

3. What is the purpose of using a parametric equation for a graph?

A parametric equation can provide a more detailed and accurate representation of a graph, especially when dealing with curves or surfaces that cannot be easily represented by a regular equation. Parametric equations also allow for greater flexibility in manipulating and analyzing the graph.

4. How do you know if a graph is represented by a parametric equation?

A graph is typically represented by a parametric equation if the coordinates of the graph can be expressed as functions of a third variable (the parameter). This is often the case with curves or surfaces that cannot be easily represented by a regular equation.

5. Can any graph be represented by a parametric equation?

No, not all graphs can be represented by a parametric equation. Some simple graphs, such as straight lines or basic curves, can be easily represented by regular equations. More complex or irregular shapes may require a parametric equation for a more accurate representation.

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