how do I know when a parabola is or isn't a function?
Stacey Warren - Expert brainly.com
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By the vertical test, you can determine which functions are and not a function.
and a vertical test is when...?
The vertical line test determines if the graph passes vertical lines only 1, but not twice.
For example, if we have a parabola.
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The y values gets to be passed once when doing the vertical line test (refer to the bold dots)
the parabola must open up or down. it cannot be rotated on any direction
But if we have a side ways parabola.
The function does not pass the vertical line test because 2 y values are touched by the same x value.
Therefore, the sideways parabola is not a function.
a parabola is always a function .... its equation is not necessarily based on a coordinant axial system
x = 4y^2 is a parabolic function.
The graph of x=4y^2 is sideways parabola but narrower. No?
no, you see that I have drawn the y axis as the horizontal, and the x axis is vertical ... making y independant, and x dependant.
'sideways' is not relevant ... all parabolas can be oriented to open upward or downward
move the vertex to the origin, and rotate the 'graph'
im sure the question did not have this in mind ... but still