Equation for this graph - Mathematica

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SUMMARY

The discussion centers on identifying the equation for a specific graph, with the consensus pointing towards a variation of a cosine function. The proposed equation is y = 1 + (cos(x) + 1)^2, which accurately represents the graph's characteristics. Participants agree that this formulation captures the essential behavior of the graph in question.

PREREQUISITES
  • Understanding of trigonometric functions, specifically cosine functions.
  • Familiarity with graphing techniques and visual representation of mathematical functions.
  • Basic knowledge of function transformations, including shifts and scaling.
  • Experience with Mathematica or similar graphing software for visual analysis.
NEXT STEPS
  • Explore the properties of cosine functions and their transformations.
  • Learn how to graph equations using Mathematica for better visualization.
  • Investigate variations of trigonometric functions and their applications in modeling.
  • Study the impact of function parameters on the shape of graphs.
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Mathematicians, educators, students, and anyone interested in graphing trigonometric functions or utilizing Mathematica for mathematical analysis.

caleytm
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I think its a variation of a cosine function, but i have no idea what

Does anybody have any idea?
 

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y = 1 + (cos(x) + 1)^2 is a fair fit.
 

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