Long description: fig7b

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A graph showing two parabolas on a standard Cartesian coordinate system, one represented by the equation \(x^2 = 2(y-3)\) and the other by \(y^2 = x\).

Alt text: A graph showing two parabolas on a standard Cartesian coordinate system, one represented by the equation \(x^2 = 2(y-3)\) and the other by \(y^2 = x\).

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  • The image displays a standard two-dimensional Cartesian coordinate system with horizontal and vertical axes labeled \(x\) and \(y\), respectively.
  • Two parabolas are graphed on the coordinate plane.
  • The first parabola, labeled \(x^2 = 2(y-3)\), opens upwards and has its vertex located at the point \((0, 3)\).
  • The second parabola, labeled \(y^2 = x\), opens to the right, passing through the origin \((0, 0)\).
  • Both curves are drawn smoothly on the coordinate plane.

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