The graph of a quadratic function results in a:
a. Hyperbola
b. Parabola
c. Ellipse
d. Conical Ellipse

Question

The graph of a quadratic function results in a:
a. Hyperbola
b. Parabola
c. Ellipse
d. Conical Ellipse

anonymous · Answer

@nirmalnema :o Do you know this

nirmalnema · Answer

parabola

solomonzelman · Answer

you asked this question yesterday.

solomonzelman · Answer

And I told you, that it is a parabola, that is opening up or down.

solomonzelman · Answer

Give me any quadratic equation, and I'll make it into a parabola.

anonymous · Answer

Why does it turn into a parabola

anonymous · Answer

@SolomonZelman

solomonzelman · Answer

It turns into a U or ∩ shaped parabola, because the equation of the parabola is
y=a(x-h)²+k    (where  (h,k)  is the center. I would call it the minimum point of a U shaped, and the maximum point of a ∩ shaped parabola).

Take any quadratic equation,

rx²+sx+t=0   (where s and t are numbers)
r(x²+{s/r}x)+t=0
r(x²+{s/r}x+N)-{N × r} +t=0    (where N is the number that would make parenthesis a perfect square.

It is hard to explain it just like this without any example, but you propose an example, and I'll show.