Are all parabolas not functions
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Are all parabolas not functions

[From: ] [author: ] [Date: 11-08-29] [Hit: ]
like x = y^2 - 6.But a parabola which opens up or down, where the x is squared and the y is not, is a function. Example: y = -3x^2 + 2x-Horizontal parabolas are not functions.Vertical parabols are functions.......
In my textbook, it says that because of the vertical line test, the ordered pair is not a function because of it's curved shape and because that there are two Y values for all but one X. I don't know if they are using it as an example, or if there is any exception to what they are saying. No stupid answers please. Thanks in advance.

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That description is true for a parabola which opens left or right, which is one where the y is squared, like x = y^2 - 6.

But a parabola which opens up or down, where the x is squared and the y is not, is a function. Example: y = -3x^2 + 2x

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Horizontal parabolas are not functions. The equation for a horizontal parabola has the form
     x = a(y−k)² + h

Vertical parabols are functions. The equation for a vertical parabola has the form
     y = a(x−h)² + k
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