Solve y=\frac{-1}{3}x^2

Function

Find the vertex

Find the axis of symmetry

Evaluate the derivative

(0, 0)

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Testing for symmetry about the origin

Testing for symmetry about the x-axis

Testing for symmetry about the y-axis

Not symmetry with respect to the origin

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Find the standard equation of the parabola

Find the vertex of the parabola

Find the focus of the parabola

x^{2} = - 3 y

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Solve for x

Solve for y

x = - 3 y x = - - 3 y

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r = 0 r = - 3 sin (θ) sec^{2} (θ)

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