Long description: figd

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A graph shows a left half of an ellipse centered at the origin, plotted on a Cartesian coordinate system with x and y axes labeled.

Alt text: A graph shows a left half of an ellipse centered at the origin, plotted on a Cartesian coordinate system with x and y axes labeled.

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  • The image displays a curve plotted on a two-dimensional Cartesian coordinate system, which includes a horizontal axis labeled "x" and a vertical axis labeled "y".
  • The equation associated with the curve shown is \(\frac{x^{2}}{9} + \frac{y^{2}}{16} = 1\).
  • The visible portion of the curve is a segment of an ellipse, specifically the portion where the x-values are non-negative (the right half) and the y-values range from the lowest to the highest point of the curve.
  • The curve starts at a point on the y-axis, indicated by the label \(t=-1\), and proceeds upwards and to the right, reaching a marked endpoint labeled \(t=0.5\) on the y-axis. (Note: The labels \(t=-1\) and \(t=0.5\) likely represent parameter values or points along the curve rather than simple coordinates).
  • The curve is smooth and concave, forming a segment of an ellipse whose center is at the origin \((0, 0)\).

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