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  • John Rhodes
  • June 21, 2023
  • Algebra

How to Solve Quadratic Equations: The Quadratic Formula and Discriminant.

standard form of a quadratic equation ax² + bx + c = 0 The standard form of a quadratic equation is: ax^2 + bx + c =...
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  • John Rhodes
  • June 21, 2023
  • Algebra

Mastering Quadratic Expressions: the Basics, Uses, and Applications of Ax^2 + Bx + C

quadratic expression A polynomial expression in which the degree is 2. A quadratic expression is a mathematical expression containing at least one squared term of a variable,...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Mastering Parabolas: the Components, Equations, and Real-World Applications

parabola the graph of a quadratic function A parabola is a U-shaped curve formed by the intersection of a plane parallel to a fixed line and a...
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  • John Rhodes
  • June 21, 2023
  • Algebra

the Axis of Symmetry in Math: How to Divide and Mirror Shapes and Curves

Axis of Symmetry The vertical line that divides a parabola into two identical halves. Can be calculated when a quadartic equation is in standard form using the...
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  • John Rhodes
  • June 21, 2023
  • Calculus

the Importance of Vertices in Mathematics: A Comprehensive Overview for Beginners.

vertex The maximum or minimum value of a parabola. In mathematics, a vertex is a point where two or more lines, curves, or edges meet. The term...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Mastering Quadratic Functions: How to Convert Standard Form to Vertex Form

Vertex form of a quadratic function y=a(x-h)^2+k The vertex form of a quadratic function is given by: f(x) = a(x – h)^2 + k where a, h,...
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  • John Rhodes
  • June 21, 2023
  • Algebra

Maximizing Calculations with Associative Property: A Comprehensive Guide to Addition and Multiplication.

Associative Property Changing the grouping of numbers will NOT change the value. For example: (7 + 4) + 8 = 7 + (4 + 8). Also works...
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  • John Rhodes
  • June 21, 2023
  • Trigonometry

Trigonometry: the Ratio √3/2 and Its Relationship to the Angle 60° in a Right Triangle.

√3/2 sin(π/3) √3/2 is a fraction that represents a trigonometric ratio of a specific angle in a right triangle. The angle that has this ratio is 60°....
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