Does a parabola have an inverse

kyrtilioo

kyrtilioo

Answered question

2022-12-16

Does a parabola have an inverse

Answer & Explanation

Landin Silva

Landin Silva

Beginner2022-12-17Added 4 answers

Parabola :
A parabola is a curve 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=x2 it’s graph looks like a U-Shaped curve opening up.
Here y=x2 does not have an inverse as it fails the horizontal line test.
The inverse equation, y=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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