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The quadratic function, max. or min. value, y value

ÀÛ¼ºÀÚ Uploader : math1 ÀÛ¼ºÀÏ Upload Date: 2016-03-16º¯°æÀÏ Update Date: 2016-03-16Á¶È¸¼ö View : 443

The graph of a univariate quadratic function f(x)=ax2+bx+c is a parabola. Equivalently, this is the graph of the bivariate quadratic equation  
y = ax2+bx+c.
if a > 0, the parabola opens upward and the function has minimum value,
if a < 0, the parabola opens downward and the function has maximum value.
The coefficient a controls the degree of curvature of the graph; a larger magnitude of a gives the graph a more closed (sharply curved) appearance.
The coefficients b and a together control the location of the axis of symmetry of the parabola which is at
x = -1/(2a)*b
y = ax2+bx+c = a(-b/2a)^2+b(-b/2a)+c
a : coefficient x^2
b : coefficient x
c : constant
The coefficient c controls the height of the parabola; more specifically, it is the height of the parabola where it intercepts the y-axis.

*** Âü°í¹®Çå[References] ***

https://en.wikipedia.org/wiki/Quadratic_function
y = a*(-b/(2*a))^2+b*(-b/(2*a))+c
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