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Quadratic Function - "A polynomial where the highest degree of any variable is 2"

Parabola - "A curve in hich every point on the curve is equidistant from a point called a focus and a straight line called a directrix"

Symmetry

Axis of Symmetry - "A line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object"

Vertex - "The spot where two lines meet"

Maximum - "The greatest value on the graph"

Minimum - "The lowest y value in the graph"

X-intercepts - "The point where the line crosses the x-axis"

Y-intercepts - "When the line crosses the y-axis"

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to graph a quadratic function you must put f(x)=ax2+bx+c or standard form of a quadratic function is f(x)=a(x-h)2+k

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graphing quadratics can be used to check what was the maximum height of a javelin throw or how deep a diver has gone or a balloons time in the air.

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the main thing about graphing quadratics is to solve parabolas

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The main concept for graphing quadratics 

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The main concept for graphing quadratics 

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the main concept for graphing quadratics is the parabola and finding its vertex whats its highest or lowest point.

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Key vocabulary for factoring graphing and square roots 

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Key vocabulary for factoring graphing and square roots 

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Coefficient - " A number that is multiplied by a variable"

Qudratic - "A polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared

Roots - "A number that when multiplied by itself produes the original number"

Greatest Common Factor - "The largest factor that all numbers share"

Factor - "A number or algebraic exp0ression that divides another number or expression evely"

Trinomial - An algebraic expression that has three non-zero terms"

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key formulas for solving Quadratics by Factoring, Graphing and Square Roots

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key formulas for solving Quadratics by Factoring, Graphing and Square Roots

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Formulas for solving Quadratics is x = (-b ± √ (b² – 4ac) )/2a for square roots and x2 + (b/a) x + c/a = 0 for factoring and f(x)=ax2+bx+c for graphing.

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Main concept for solving Quadratics by Factoring, Graphing and Square Roots

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Main concept for solving Quadratics by Factoring, Graphing and Square Roots

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The main concept for solving Quadratics with Factoring, Graphing and Square Roots is the first constant cant be zero.

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The main concept to solving Quadratics by Quadratic Formula/Completing the Square 

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The main concept to solving Quadratics by Quadratic Formula/Completing the Square 

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the concept to solving Quadratics by Quadratic Formula is to help us solve any quadratic equation. The concept to solving Quadratics by Completing the Square is to turn any quadratic equation into the form (x-a)^2=b.

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How are complex numbers used In real life?

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How are complex numbers used In real life?

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Imaginary Numbers are used to understand (AC) electricity or the current of electronics so the people working with electricity (AC) calculate the electricity so they avoid electrocution.

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Mathematics: How are Complex Numbers used in the Real World?

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“Being a student is easy. Learning requires actual work.” — William CrawfordOur students come to ME Education to study the curriculums we teach, but they walk away with something far more than the teachings alone. They learn the tools they need to experience the world fully. This is true for all the subjects on offer, even ones that seem difficult to apply to the real world – like complex numbers in Mathematics.What is a complex number?In mathematics, simply put, a ‘real’ number, is a value of a

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the discriminant in solving quadratics is b2 – 4ac this value shows how many roots f(x) has.

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The use of completing the square in solving quadratics 

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The use of completing the square in solving quadratics 

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The use of completing the square in solving quadratics is to rewrite the quadratic expression as a perfect square trinomial.

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the formula for completing the square is a(x + m)2 + n = a(x + m)2 + n

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The purpose to solving Quadratics by using Quadratic formula 

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The purpose to solving Quadratics by using Quadratic formula 

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The Quadratic formula is used for solving quadratic equations.

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The Formula for Quadratic Formula is (-b+-√b^2-4ac) / 2a.

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Who came up with the concept of complex numbers?

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Who came up with the concept of complex numbers?

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Italian mathematician and gambler Gerolamo Cardano introduced complex numbers when he found the explicit formula for all three roots of a cube equation in 1545

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Sage Tutorial for the first course: Complex numbers

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Complex numbers were introduced by the Italian famous gambler and mathematician Gerolamo Cardano (1501--1576) in 1545 while he found the explicit formula for all three roots of a cube equation. Many mathematicians contributed to the full development of complex numbers. The rules for addition, subtraction, multiplication, and division of complex numbers were developed by the Italian mathematician Rafael Bombelli (baptized on 20 January 1526; died 1572). The notations 1 and i for unit vectors in horizontal positive direction and vertical positive direction, respectively, were introduced by Leonhard Euler (1707--1783) who visualized complex numbers
as points with rectangular coordinates, but did not give a satisfactory foundation for complex numbers theory. He also suggested to drop the unit vector 1 in presenting vectors on the plane. It was Carl Friedrich Gauss (1777--1855) who introduced the term complex number. Cauchy, a French contemporary of Gauss, extended the concept of complex numbers to the notion of complex functions. University of Rhode Island professor Orlando Merino (born in 1954) has written an essay on history of discovery of complex numbers.

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to graph a complex number

1. you must determine the real part and the imaginary part of the complex number

2. move along the horizontal axis to show the real part of the number

3. move parallel to the vertical axis to show the imaginary

part of the number

4. plot the point

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After all, to this point we have described the square root of a negative number as undefined. Fortunately, there is another system of numbers that provides solutions to problems such as these. In …