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Why is any parabola that opens upward or downward a function?

Updated: 12/19/2022
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MaddieHughesgp2921

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7y ago

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It is a function because for every point on the horizontal axis, the parabola identified one and only one point in the vertical direction.

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Q: Why is any parabola that opens upward or downward a function?
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Related questions

A parabola that opens upward?

Is a parabola whose directrix is below its vertex.


How does the value of a variable affect the direction the parabola opens?

If the value of the variable is negative then the parabola opens downwards and when the value of variable is positive the parabola opens upward.


The parabola opens downward the vertex is called?

The maximum.


How do you know if a parabola opens up or down?

I think it's like this: x2+3x-5 So if the x2 part is a positive then it opens upward but if it's negative it goes downward.


If the parabola opens downward the vertex is called the?

The maximum point.


If the parabola opens upward the vertex is called?

maximum point :)


If the parabola opens upward the vertex is called the?

maximum point :)


How do you tell if a quadratic function is minimum value or a maximum vale?

Standard notation for a quadratic function: y= ax2 + bx + c which forms a parabola, a is positive , minimum value (parabola opens upwards on an x-y graph) a is negative, maximum value (parabola opens downward) See related link.


What way does the parabola open if a is greater than 0?

If a is greater than zero then the parabola opens upward.


Which way does a parabola open when the coefficent of its x2-term a is negative?

Opens downward.


How do you know if a parabola has a minimum or maximum value?

When you look at the parabola if it opens downwards then the parabola has a maximum value (because it is the highest point on the graph) if it opens upward then the parabola has a minimum value (because it's the lowest possible point on the graph)


When a parabola opens upward the y coordinate of the vertex is a what?

Opening up, the vertex is a minimum.