When a parabola has a horizontal axis of symmetry, it is not a function anymore because it doesn't pass the Vertical Line Test. However, we know it's related because the equation has a y^2 in it. What kind of function do you think it could be, based on this information?

Respuesta :

The horizontal parabola can be related to the functions:

y = √x and y = -√x.

What kind of function it could be?

Remember that for a function each input has a single output.

In the case of a horizontal parabola, the general case is:

x = y^2

The problem here is that the input x = 4 can be mapped into two different outputs, that are y = 2 and y = -2, so this is not a function.

Now, this can be related to a function? yes.

We could rewrite:

y = √x

Which is in did a function.

The actual decomposition would be:

y^2 = x ⇒ y = ±√x

Such that:

y = √x and y = -√x

Are functions, but:

y = ±√x and y^2 = x

Are not functions.

y^2 can be related to square root functions.

If you want to learn more about parabolas:

https://brainly.com/question/4061870

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