Anyone knows how one can find the vertex of a point without using finding the squares, instead something as simple as quadratic formula???

Question

mathmate · Answer

@Afro 
In general vertex IS a point.
Do you mean vertex of a parabola, given the equation?

afro · Answer

well yea of a parabola or any point in general because, my professor keeps pushing that the only way is using finding the squares and i know for a fact that's impossible and i hate finding the square

mathmate · Answer

Do you mean $completing~the~square$ of a quadratic equation?

afro · Answer

yes, but would there be another way to find that vertex of that quadratic equation using the quadratic formula???

afro · Answer

in all honesty what i'm trying to say is IS there another way instead of completing the square

mathmate · Answer

Yes, the lazy way!
If the equation is $ax^2+bx+c=0$, then the vertex is at (-b/a,c)
The result is obtained by....you guessed it,.... completing the squares!
Try it for yourself!

afro · Answer

OMG I JUST SAID IS THERE ANOTHER WAYYYYYYYYYYYYYYYYY, i hate completing the squares so much man