Vertex condition?

Hey, I have a list full of math vocabulary but unfortunately I don't have anything for a vertex.

Does anyone have an example similar to the one in my list, such as the condition for a vertex of, for example, S(5|12).

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Halbrecht
6 months ago

should be formulated exactly as here

has in point (5/3) a vertex …………f(5) = 3

at the same time the SP is either TP or HP of a parabola

Halbrecht
6 months ago
Reply to  lmhdzf

Yes, of course, because the SP is the only extreme of the Fkt

The derivation is a straight line which has its zero at the x value of the SP.

In general, the SP does not speak of Max or Min, because the parabola is taught before the Fkt where Extrema is to be discovered.

BorisG2011
6 months ago

S(xs; ys) wherein the factor a indicates the orientation of the parabola (opening down for negative a, opening up otherwise) and the stretching of the parabola.

evtldocha
6 months ago

For your example S(5|12)

This is actually already in your list, because the failure of a parabola is a Extreme the parabola.