how do u figure out minimum and maximum value, without graphing?
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Parabolic equations define which way a parabola opens up. Generally, when first being taught about parabolas you will only be taught that they open up and down. When it opens up, the vertex of the parabola is known as the minimum because it is the lowest point of the parabola. When a parabola opens down, the vertex is the maximum because it is the highest point of the parabola.
First and second derivatives tell the story.
ALSO: To find out if the parabola opens up or down you must determine which kind of equation you are looking at, and if the equation is negative or positive. The standard equation of a parabola is y=ax^2+bx+c The vertex form of a parabolic equation is y=a(x-h)^2+k If the variable "a" in either equation is positive, the parabola opens up. If the variable "a" is negative, the parabola opens down.
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