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A parabola with a vertex at (0,0) has a focus along the negative part of the x-axis.

Which could be the equation of the parabola?

y2 = x
y2 = –2x
x2 = 4y
x2 = –6y

Respuesta :

apologiabiology
all of them have vertices on (0,0)
for the focus to be on negative part of x axis, make sure that it opens left
so it has to be the y term that is squared
so it is the 1st or 2nd
the first one will give us a parbola opening right
2nd will give us onpening left

answer is y^2=-2x
MrRoyal

The equation that could represent the parabola is [tex]y^2=-2x[/tex]

The equation of the parabola is given as:

[tex]x^2 = 2y[/tex]

The vertex is given as (0,0)

A parabola that opens upward parallel to the x-axis is represented as:

[tex]y^2=4ax[/tex]

Given that:

The focus is on the negative part of the x-axis

It means that: a is less than 1

So, we have:

[tex]y^2 = -4ax[/tex]

Hence, the equation that could represent the parabola is [tex]y^2=-2x[/tex]

Read more about parabolas at:

https://brainly.com/question/4061870

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