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Transverse Axis of Hyperbola

The parabola ...

Question

The parabola $y^{2} = x$ is symmetric about:

x-axis

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y-axis

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Both x-axis and y-axis

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The line y=x

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Solution

The correct option is A x-axis
$y = x^{2}$ is a paabola with curvature opening towards positive $x$ axis.
So, it is a symmetric about $x$ axis.

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The parabola $y^{2} = x$ is symmetric about

y = \frac{- x^{2}}{2} + x + 1

x = 1

y = \frac{- x^{2}}{2} + x + 1

x = 1

y = - \frac{x^{2}}{2} + x + 1

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I

y = \frac{- x^{2}}{2} + x + 1

x = 1

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