Equation for this graph - is it parametric?

  • Thread starter Thread starter caleytm
  • Start date Start date
  • Tags Tags
    Graph Parametric
Click For Summary
SUMMARY

The discussion centers on identifying the equation of a graph, which is believed to be parametric in nature. The user suggests a potential equation format of x = sin(t) and y = t + sin(2t) to match the graph's characteristics. The graph's x-component is periodic, while the y-component combines a monotonically increasing function with a periodic function. The user encourages experimentation with constants to achieve a closer fit to the original graph.

PREREQUISITES
  • Understanding of parametric equations
  • Familiarity with trigonometric functions, specifically sine
  • Knowledge of periodic functions and their properties
  • Basic graphing skills to visualize equations
NEXT STEPS
  • Explore the properties of parametric equations in detail
  • Learn about the behavior of periodic functions and their combinations
  • Experiment with graphing tools like Desmos to visualize parametric equations
  • Investigate the use of constants in modifying the shape of parametric graphs
USEFUL FOR

Mathematicians, physics students, and anyone interested in graph theory or parametric equations will benefit from this discussion.

caleytm
Messages
2
Reaction score
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?
 

Attachments

  • 408771_10150543550448794_833373793_8802088_1668544508_n.jpg
    408771_10150543550448794_833373793_8802088_1668544508_n.jpg
    4.3 KB · Views: 437
Physics news on Phys.org
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
 

Attachments

  • parametric.jpg
    parametric.jpg
    21.1 KB · Views: 423
Last edited:

Similar threads

Checking nature of turning point of parametric equation
  • · Replies 7 ·
Replies
7
Views
2K
Solution of a parametric differential equation
  • · Replies 4 ·
Replies
4
Views
2K
Correct Parametrization for Calculating Area of a Tube?
  • · Replies 2 ·
Replies
2
Views
1K
Graph the Cartesian equation: x=4t^2, y=2t
  • · Replies 2 ·
Replies
2
Views
4K
Maximize the function with constraints
  • · Replies 12 ·
Replies
12
Views
2K
Finding when a parametric equation self-intersects
  • · Replies 3 ·
Replies
3
Views
3K
Graph the Cartesian equation: x = 2 sin t, y = 4 cos t
  • · Replies 1 ·
Replies
1
Views
9K
Parametrization for Surface F and Area A
  • · Replies 2 ·
Replies
2
Views
2K
Graphing a function under a complex mapping
  • · Replies 3 ·
Replies
3
Views
2K
Calculus III (help sketching graph)
  • · Replies 1 ·
Replies
1
Views
2K