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Example of a Horizontal Parabola: x=ay²

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Explanations 1

Function of a Parabola Sideways Stuff In a parabola of form y=ax2y = ax^2y=ax2, the parabola opens up or down, depending on aaa. For each value of xxx, there is only on possible…
By ewdon140, Alex Federspiel

Problems 4

Suppose we have a parabola represented by the equation x=ay2x = ay^2x=ay2. If we reflect this across the line y=−xy=-xy=−x, then what is the equation of this new parabola?
As aaa increases, what happens to the focus point?
As aaa increases, what happens to the vertex?
The distance between the focus point and the vertex varies ______ with aaa.