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Maximum or Minimum Value of Quadratic Equation Formula

GoMaximum or Minimum Value of Quadratic Equation using Discriminant Formula

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Maximum/Minimum Value of Quadratic Equation is the highest or lowest point on the graph of the Quadratic Equation depending on whether the coefficient 'a' is negative or positive respectively. Check FAQs

f (x)Max/Min = \frac{(4 \cdot a \cdot c) - (b^{2})}{4 \cdot a}

f_(x)Max/Min - Maximum/Minimum Value of Quadratic Equation?a - Numerical Coefficient a of Quadratic Equation?c - Numerical Coefficient c of Quadratic Equation?b - Numerical Coefficient b of Quadratic Equation?

Maximum or Minimum Value of Quadratic Equation Example

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Here is how the Maximum or Minimum Value of Quadratic Equation equation looks like with Units.

Here is how the Maximum or Minimum Value of Quadratic Equation equation looks like.

-50 = \frac{(4 \cdot 2 \cdot -42) - (8^{2})}{4 \cdot 2}

-50 = \frac{(4 \cdot 2 \cdot -42) - (8^{2})}{4 \cdot 2}

-50 = \frac{(4 \cdot 2 \cdot -42) - (8^{2})}{4 \cdot 2}

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Maximum or Minimum Value of Quadratic Equation Solution

Follow our step by step solution on how to calculate Maximum or Minimum Value of Quadratic Equation?

FIRST Step Consider the formula

f (x)Max/Min = \frac{(4 \cdot a \cdot c) - (b^{2})}{4 \cdot a}

Next Step Substitute values of Variables

∴

f (x)Max/Min = \frac{(4 \cdot 2 \cdot -42) - (8^{2})}{4 \cdot 2}

Next Step Prepare to Evaluate

∴

f (x)Max/Min = \frac{(4 \cdot 2 \cdot -42) - (8^{2})}{4 \cdot 2}

LAST Step Evaluate

∴

f (x)Max/Min = -50

Maximum or Minimum Value of Quadratic Equation Formula Elements

Variables

Maximum/Minimum Value of Quadratic Equation

Maximum/Minimum Value of Quadratic Equation is the highest or lowest point on the graph of the Quadratic Equation depending on whether the coefficient 'a' is negative or positive respectively.

Symbol: f_(x)Max/Min

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Maximum/Minimum Value of Quadratic Equation

Numerical Coefficient a of Quadratic Equation

Numerical Coefficient a of Quadratic Equation is a constant multiplier of the variables raised to the power two in a Quadratic Equation.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Numerical Coefficient a of Quadratic Equation

Numerical Coefficient c of Quadratic Equation

Numerical Coefficient c of Quadratic Equation is the constant term or a constant multiplier of the variables raised to the power zero in a Quadratic Equation.

Symbol: c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Numerical Coefficient c of Quadratic Equation

Numerical Coefficient b of Quadratic Equation

Numerical Coefficient b of Quadratic Equation is a constant multiplier of the variables raised to the power one in a Quadratic Equation.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Numerical Coefficient b of Quadratic Equation

Other Formulas to find Maximum/Minimum Value of Quadratic Equation

Go Maximum or Minimum Value of Quadratic Equation using Discriminant

f (x)Max/Min = - \frac{D}{4 \cdot a}

Other formulas in Quadratic Equation category

Go First Root of Quadratic Equation

x 1 = \frac{- (b) + \sqrt{b^{2} - 4 \cdot a \cdot c}}{2 \cdot a}

Go Second Root of Quadratic Equation

x 2 = \frac{- (b) - \sqrt{b^{2} - 4 \cdot a \cdot c}}{2 \cdot a}

Go Discriminant of Quadratic Equation

D = (b^{2}) - (4 \cdot a \cdot c)

Go Product of Roots of Quadratic Equation

P (x1×x2) = \frac{c}{a}

How to Evaluate Maximum or Minimum Value of Quadratic Equation?

Maximum or Minimum Value of Quadratic Equation evaluator uses Maximum/Minimum Value of Quadratic Equation = ((4*Numerical Coefficient a of Quadratic Equation*Numerical Coefficient c of Quadratic Equation)-(Numerical Coefficient b of Quadratic Equation^2))/(4*Numerical Coefficient a of Quadratic Equation) to evaluate the Maximum/Minimum Value of Quadratic Equation, The Maximum or Minimum Value of Quadratic Equation formula is defined as the highest or lowest point on the graph of the Quadratic Equation depending on whether the coefficient 'a' is negative or positive respectively. Maximum/Minimum Value of Quadratic Equation is denoted by f_(x)Max/Min symbol.

How to evaluate Maximum or Minimum Value of Quadratic Equation using this online evaluator? To use this online evaluator for Maximum or Minimum Value of Quadratic Equation, enter Numerical Coefficient a of Quadratic Equation (a), Numerical Coefficient c of Quadratic Equation (c) & Numerical Coefficient b of Quadratic Equation (b) and hit the calculate button.

FAQs on Maximum or Minimum Value of Quadratic Equation

What is the formula to find Maximum or Minimum Value of Quadratic Equation?

The formula of Maximum or Minimum Value of Quadratic Equation is expressed as Maximum/Minimum Value of Quadratic Equation = ((4*Numerical Coefficient a of Quadratic Equation*Numerical Coefficient c of Quadratic Equation)-(Numerical Coefficient b of Quadratic Equation^2))/(4*Numerical Coefficient a of Quadratic Equation). Here is an example- -50 = ((4*2*(-42))-(8^2))/(4*2).

How to calculate Maximum or Minimum Value of Quadratic Equation?

With Numerical Coefficient a of Quadratic Equation (a), Numerical Coefficient c of Quadratic Equation (c) & Numerical Coefficient b of Quadratic Equation (b) we can find Maximum or Minimum Value of Quadratic Equation using the formula - Maximum/Minimum Value of Quadratic Equation = ((4*Numerical Coefficient a of Quadratic Equation*Numerical Coefficient c of Quadratic Equation)-(Numerical Coefficient b of Quadratic Equation^2))/(4*Numerical Coefficient a of Quadratic Equation).

What are the other ways to Calculate Maximum/Minimum Value of Quadratic Equation?

Here are the different ways to Calculate Maximum/Minimum Value of Quadratic Equation-

Maximum/Minimum Value of Quadratic Equation=-Discriminant of Quadratic Equation/(4*Numerical Coefficient a of Quadratic Equation)

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Maximum or Minimum Value of Quadratic Equation Formula

​GoMaximum or Minimum Value of Quadratic Equation using Discriminant Formula

Maximum or Minimum Value of Quadratic Equation Example

Maximum or Minimum Value of Quadratic Equation Solution

Maximum or Minimum Value of Quadratic Equation Formula Elements

Other Formulas to find Maximum/Minimum Value of Quadratic Equation

Other formulas in Quadratic Equation category

How to Evaluate Maximum or Minimum Value of Quadratic Equation?

FAQs on Maximum or Minimum Value of Quadratic Equation

Variable Name

GoMaximum or Minimum Value of Quadratic Equation using Discriminant Formula