Does a parabola have an inverse

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Solution

Parabola :
Parabola is defined as a curve that is formed by the locus of a point whose distance from a fixed point and from a fixed line is the same.
This fixed point is called focus, while the fixed line is known as the directrix of parabola.
Parabola does not have any inverse.
Consider a parabola having equation, $y = x^{2}$ it’s graph looks like a U-Shaped curve opening up.
Here $y = x^{2}$ does not have an inverse as it fails the horizontal line test.
The inverse equation, $y = \sqrt{x}$ only has the positive input values from the domain of parabola.
If we constrain the domain to be $x$ greater than zero, then only it is possible for the function to pass the horizontal line test.
Hence, Parabola does not have an inverse.

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