Solve y^2=-5x - ScanMath

Identify the conic

Find the vertex of the parabola

Find the focus of the parabola

Find the directrix of the parabola

(0, 0)

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Solve for x

Solve for y

x = - \frac{y ^{2}}{5}

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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 derivative with respect to x

Find the derivative with respect to y

\frac{d y}{d x} = - \frac{5}{2 y}

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Find the second derivative with respect to x

Find the second derivative with respect to y

\frac{d ^{2} y}{d x ^{2}} = - \frac{25}{4 y ^{3}}

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r = 0 r = - 5 cos (θ) csc^{2} (θ)

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