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Quadratic Equation | Definition, Formula & Examples - Study.com
A quadratic equation is an equation in which the highest exponent on a variable is 2 - in other words, it's a polynomial equation with degree 2. More formally, a quadratic equation is an equation ...

Quadratic Function | Formula, Equations & Examples - Study.com
For a quadratic function {eq}f(x) = ax^2 + bx + c {/eq}, where a, b, and c are real numbers and a is nonzero, a quadratic equation outlines where the value of f(x) is equal to 0. The standard form ...

Quadratic Equations in Real Life | Overview, Uses & Examples
A quadratic equation is an equation that can be put in the form ax 2 + bx + c = 0, where the highest exponent is 2. When these equations present themselves, we can use the quadratic formula to ...

How to Find the Vertex of a Parabola | Quadratic Equation
The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola. We find the vertex of a quadratic equation with the following steps: Get the equation in the form y ...

Quadratic Formula Definition, Equation & Proof - Study.com
A quadratic equation is any equation of the form {eq}f(x)=ax^2+bx+c {/eq} where a, b, and c are real numbers. Moreover, quadratic equations are represented graphically as parabolas. Here is an ...

What Is a Quadratic Equation? - Lesson Plan - Study.com
Sorting Things Out. Show students an example of a quadratic equation and another type of equation on the board. Ask students to identify which one is the quadratic equation, and explain how they knew.

How to Find the Maximum Or Minimum of a Quadratic Function
The vertex (1, 5) is the maximum point on our quadratic equation. Example Problem 2: Finding the Maximum or the Minimum of a Quadratic Function We will use the following quadratic equation for our ...

Vertex Form | Equation, Formula & Conversion - Lesson - Study.com
The vertex form of a quadratic equation is used to easily identify the vertex of the parabola. The general vertex form is defined as {eq}y=a(x-h)^2+k {/eq}, where h is the x-coordinate of the ...

Quadratic Function | Definition, Formula & Examples - Study.com
So, y = x^2 is a quadratic equation, as is y = 3x^2 + x + 1. All of these are polynomial functions of degree 2. Often you will be given the quadratic function for a particular problem. You'll be ...

How to Write the Equation of a Quadratic Function Given Its Graph
Step 1: Find the vertex, (h, k), of the parabola on the graph, and plug it into the vertex form of a quadratic equation. Since this parabola opens downwards, the vertex is the maximum found at (-1 ...

 

 

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