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Q: Can a quadratic functions have a maximum and a minimum?
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How do you determine wheather a quadratic function has a maximum or minimum and how do you find it?

In theory you can go down the differentiation route but because it is a quadratic, there is a simpler solution. The general form of a quadratic equation is y = ax2 + bx + c If a > 0 then the quadratic has a minimum If a < 0 then the quadratic has a maximum [and if a = 0 it is not a quadratic!] The maximum or minimum is attained when x = -b/2a and you evaluate y = ax2 + bx + c at this value of x to find the maximum or minimum value of the quadratic.


How do you know if a quadratic has a minimum or maximum value?

When the quadratic is written in the form: y = ax2 + bx + c then if a > 0 y has a minimum if a < 0 y has a maximum and if a = 0 y is not a quadratic but y = bx + c, and it is linear. The maximum or minimum is at x = -b/(2a)


What is the maximum or minimum of a quadratic equation called?

The vertex.


What is the maximum and minimum of quadratic function parent function?

The minimum is the vertex which in this case is 0,0 or the origin. There isn't a maximum.....


Maximum and minimum values of quadratic formula?

maximum and minimum are both (-b/2a , c - (b^2/4a))


What is another name for the maximum or minimum point of a quadratic graph?

Apex.


What name is given to the turning point also known as the maximum or minimum of the graph of a quadratic function?

vertex


How can a quadratic function have both a maximum and minimum point?

It can't - unless you analyze the function restricted to a certain interval.


A maximum or minimum of a quadratic?

Aglebra 2? Yes.for a palabara, the maximum is the U upside down, the tip of the U. The Bottom of the U the right way is the min,


How do you find the max and min of sine cosine functions?

The maximum of the sine and cosine functions is +1, and the minimum is -1.


How do you tell if a quadratic function is minimum value or a maximum vale?

Standard notation for a quadratic function: y= ax2 + bx + c which forms a parabola, a is positive , minimum value (parabola opens upwards on an x-y graph) a is negative, maximum value (parabola opens downward) See related link.


Is the range for all quadratic functions the same as the domain?

No. The domain is usually the set of Real numbers whereas the range is a subset comprising Real numbers which are either all greater than or equal to a minimum value (or LE a maximum value).