Instructional Video17:04
Brian McLogan

Standard form to vertex form of a quadratic function

12th - Higher Ed
👉 Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Instructional Video10:43
Brian McLogan

Solving a quadratic by completing the square

12th - Higher Ed
👉 Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Instructional Video5:19
Brian McLogan

Completing the square of two functions

12th - Higher Ed
👉 Learn how to write a quadratic equation from standard form to vertex form by completing the square. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. It is of the form f(x) = ax^2 + bx + c. Given a...
Instructional Video16:49
Why U

Algebra 75 - Completing the Square - part 1

12th - Higher Ed
Quadratic equations can be solved using the "zero product property" once the quadratic expression has been factored into a pair of linear expressions. However, until the development of a technique called "Completing the Square", only...
Instructional Video19:38
Brian McLogan

Lecture quadratic functions and it's solutions

12th - Higher Ed
👉 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...
Instructional Video3:55
Brian McLogan

What are the x and y intercepts of a quadratic equation

12th - Higher Ed
👉 Learn the essentials for graphing a quadratic equation. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either...
Instructional Video2:41
Brian McLogan

Learn how to solve for y of a rational expression

12th - Higher Ed
👉 Learn how to solve literal equations. A literal equation is an equation where the unknown values are represented by variables. To solve a literal equation means to make one of the variables the subject of the formula. When the literal...
Instructional Video15:20
KnowMo

Factorising Quadratics - Understanding the Process and Methods

12th - Higher Ed
The video is a lecture presentation on the topic of factorizing quadratics in algebra. The speaker provides an overview of the concept, emphasizing that factorizing is the reverse of expanding and involves putting the quadratic...
Instructional Video8:25
Brian McLogan

Zeros and multiplicity from vertex form of a quadratic

12th - Higher Ed
Zeros and multiplicity from vertex form of a quadratic
Instructional Video7:55
Brian McLogan

How do you determine the phase shifts for sine and cosine graphs

12th - Higher Ed
👉 Learn the basics to graphing sine and cosine functions. The sine graph is a sinusiodal graph with x-intercepts at x = 2n*pi, maximun value of 1 at x = pi/2 + 2n*pi and minimum value of -1 at x = -pi/2 + 2n*pi. The cosine graph is a...
Instructional Video5:15
Brian McLogan

Solve by factoring when a is greater than one

12th - Higher Ed
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...
Instructional Video3:03
Brian McLogan

What do you need to know to solve a quadratic using various methods

12th - Higher Ed
👉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...
Instructional Video4:02
Brian McLogan

What do you have to know to solve a quadratic when a = 1

12th - Higher Ed
👉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...
Instructional Video3:01
Brian McLogan

What do i need to know to solve using the difference of two squares

12th - Higher Ed
👉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...
Instructional Video1:54
Brian McLogan

Summary for solving a quadratic using various methods

12th - Higher Ed
👉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...
Instructional Video2:14
Brian McLogan

Solving a quadratic equation by using the difference of two squares

12th - Higher Ed
👉Learn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares but looking for binomials that have square terms. Difference of two square quadratic equations is of the...
Instructional Video0:47
Brian McLogan

Learn how to factor out the GCF variable and number from a binomial

12th - Higher Ed
👉Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get...
Instructional Video1:39
Brian McLogan

Factoring out a GCF then factoring using various methods

12th - Higher Ed
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...
Instructional Video1:58
Brian McLogan

How to solve a quadratic equation using the square root method

12th - Higher Ed
👉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...
Instructional Video1:19
Brian McLogan

Factoring a trinomial twice, first with the GCF

12th - Higher Ed
👉Learn how to factor quadratics when the coefficient of the term with a squared variable is not 1. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To...
Instructional Video3:35
Brian McLogan

Factor a trinomial when not in standard form

12th - Higher Ed
👉Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get...
Instructional Video1:46
Brian McLogan

Classifying a polynomial based on its degree and number of terms

12th - Higher Ed
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...
Instructional Video4:58
Brian McLogan

Tips for solving by factoring when a perfect square

12th - Higher Ed
👉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...
Instructional Video6:14
Brian McLogan

How to solve a quadratic equation by completing the square when a is not one

12th - Higher Ed
👉 Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...