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y coordinate of the maximum (or minimum) value of a quadratic equation

ÀÛ¼ºÀÚ Uploader : r.soi.5 ÀÛ¼ºÀÏ Upload Date: 2019-03-12º¯°æÀÏ Update Date: 2019-06-10Á¶È¸¼ö View : 277

The y coordinate of the maximum (or minimum) value of a quadratic equation

When differentiating y = ax ^ 2 + bx + c, the derivative becomes zero at the maximum (or minimum) value.

2ax + b = 0  

x = -b/(2a)
if a > 0, a minimum value
if a < 0, a maximum value

Thus, the maximum (or minimum) value of y is :

y = a*(-b/(2a))^2 + b*(-b/(2a)) + c


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y = a*(-b/(2a))^2 + b*(-b/(2a)) + c
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