Math Fortress
Calculus III: The Dot Product (Level 7 of 12)
This video goes over the dot product also known as the scalar product. This video goes over 3 challenging examples that require the use of dot product.
Curated Video
Solving Linear and Quadratic Systems Using Substitution
In this video, the teacher explains how to solve systems of equations that include both linear and quadratic equations using the method of substitution. The teacher provides examples and explains the different types of solutions that can...
Curated Video
Finding the Axis of Symmetry in Quadratic Equations
In this video, mathematicians learn how to find the axis of symmetry in a quadratic equation. The axis of symmetry is a line that divides the parabola into two mirror images. By understanding the concept of symmetry and using the formula...
Curated Video
Finding Solutions to Quadratic Equations
In this video lesson, students will learn how to solve quadratic equations using the factored form of the equation. The teacher explains the concept of factor pairs and emphasizes that when solving for the solutions of a quadratic, one...
Curated Video
Determining Real or Imaginary Solutions of Quadratic Equations with No Linear Term
In this lesson, you will learn how to determine whether the solutions of a quadratic equation with no linear term are real or imaginary. By isolating the quadratic term and considering the square roots involved, you can determine if the...
Curated Video
Writing Quadratic Equations Using Points on the Parabola
In this video, the teacher explains how to write the equation of a parabola using different methods. They also demonstrate how to solve systems of equations and find the vertex of a parabola. The video concludes by applying these...
Brian McLogan
Learn to eliminate the parameter with two equations
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...
Curated Video
Solving Quadratic Equations using the Quadratic Formula
In this video, the teacher explains how to solve quadratic equations using the quadratic formula. They highlight common mistakes to avoid, such as squaring negative numbers and correctly identifying the coefficients.
Curated Video
Solving Quadratic Equations by Inspection
In this lesson, students learn how to solve quadratic equations by inspection. They review perfect squares and multiplying square roots, as well as common mistakes to avoid. Through examples, they learn to identify perfect square...
Brian McLogan
Solve an equation using the quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Curated Video
Solving Quadratic Equations by Completing the Square with Non-Unit Leading Coefficient
In this video lesson, students will learn how to solve quadratic equations by completing the square when the coefficient of the squared term is not 1. The teacher explains the concept of perfect square trinomials and how to identify and...
Curated Video
Finding Imaginary Roots of Quadratic Equations
In this lesson, students will learn how to find imaginary roots of quadratic equations using the square root property. They will review the vocabulary related to quadratic equations and the imaginary unit. Through examples and...
Brian McLogan
Solving a quadratic equation with imaginary solutions
👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Brian McLogan
What do I have to know to graph a quadratic in standard form
👉 Learn the basics to understanding graphing quadratics. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
Solving a quadratic equation using inverse operations
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
Solving a quadratic by applying the quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
Learn the three possible solutions of a quadratic
👉Learn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic...
Brian McLogan
Understanding the discriminant as a part of the quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
How do I graph a quadratic in standard form
👉 Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Curated Video
Completing the Square: Transforming Quadratic Equations
In this lesson, students will learn how to complete the square in quadratic equations using both models and symbols. They will understand the steps involved in transforming a quadratic equation and how to factor perfect squares.
Brian McLogan
Graphing a quadratic function in standard form
👉 Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Curated Video
Writing Quadratic Equations from Story Problems
In this video, the teacher explains how to write quadratic equations based on information from story problems. Using the example of launching a water balloon, the teacher demonstrates how to find the relevant information, such as initial...
Brian McLogan
Determining the roots of a quadratic equation by factoring when a is not one
we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors...