How to write the equation of an ellipse?
Understand the Problem
The question is asking how to formulate the equation that defines an ellipse, which may involve specific parameters such as the center, the lengths of the axes, and the orientation of the ellipse. The general form of the ellipse equation can be discussed.
Answer
((x - h)^2 / a^2) + ((y - k)^2 / b^2) = 1.
The standard form of the ellipse equation is ((x - h)^2 / a^2) + ((y - k)^2 / b^2) = 1.
Answer for screen readers
The standard form of the ellipse equation is ((x - h)^2 / a^2) + ((y - k)^2 / b^2) = 1.
More Information
The equation can also identify whether the major axis is horizontal or vertical. If ‘a’ is greater than ‘b’, the major axis is horizontal; if ‘b’ is greater than ‘a’, it is vertical.
Sources
- The web page with info on - Example Source - study.com
- Equations of Ellipses | College Algebra - Courses.lumenlearning.com - courses.lumenlearning.com
- Ellipse - Equation, Formula, Properties, Graphing - Cuemath - cuemath.com
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