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## Main Question or Discussion Point

mods please move this topic if this is not in the correct section. thanks. :)

the question is:

the vertices of the family of parabolas y = x^2 + bx, b is constant, lie on a single parabola. Find equation for that parabola.

my teacher require me to provide supporting details & background info that back up my answer and have to verify it using a different method. i'm really puzzled and i would greatly appreciate any help that comes my way. thanks in advance.

the question is:

the vertices of the family of parabolas y = x^2 + bx, b is constant, lie on a single parabola. Find equation for that parabola.

my teacher require me to provide supporting details & background info that back up my answer and have to verify it using a different method. i'm really puzzled and i would greatly appreciate any help that comes my way. thanks in advance.