Instructional Video23:17
Brian McLogan

Write the quadratic in vertex form from standard form

12th - Higher Ed
Write the quadratic in vertex form from standard form
Instructional Video9:13
Brian McLogan

Student Mistakes with COMPLETING THE SQUARE

12th - Higher Ed
Completing the square is a common process that students struggle with that I am no stranger to. In this video I will highlight the mistakes I made as well as my students.
Instructional Video4:34
Brian McLogan

Solve a rational equation with no extraneous solutions

12th - Higher Ed
Solve a rational equation with no extraneous solutions
Instructional Video9:48
Brian McLogan

Solving by completing the square hard with fractions

12th - Higher Ed
πŸ‘‰ 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 Video4:17
Brian McLogan

Solving a quadratic by completing the square

12th - Higher Ed
πŸ‘‰ 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 Video6:02
Brian McLogan

Solving a quadratic by completing the square

12th - Higher Ed
πŸ‘‰ 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 Video4:32
Brian McLogan

Learning to solve rational equations in math class

12th - Higher Ed
πŸ‘‰ Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of...
Instructional Video1:47
Brian McLogan

Learning how to apply synthetic division with multiple missing terms

12th - Higher Ed
πŸ‘‰ Learn about dividing by synthetic division when there is a missing power. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for...
Instructional Video2:02
Brian McLogan

Multiply a quadratic function and square root function to determine the domain

12th - Higher Ed
πŸ‘‰ Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We...
Instructional Video11:23
Brian McLogan

Master How to find the inverse of quadratic and square root functions

12th - Higher Ed
Master How to find the inverse of quadratic and square root functions
Instructional Video30:01
Brian McLogan

Operations of Functions with Domain

12th - Higher Ed
Operations of Functions with Domain
Instructional Video3:17
Brian McLogan

Transfer an equation standard form to vertex form when b is not divisible

12th - Higher Ed
πŸ‘‰ 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 Video4:08
Brian McLogan

Inverse of quadratic equation with constraint

12th - Higher Ed
πŸ‘‰ Learn how to find the inverse of a quadratic function. A quadratic function is a function whose highest exponent in the variable(s) of the function is 2. The inverse of a function is a function that reverses the "effect" of the...
Instructional Video6:42
Brian McLogan

Finding the vertex and x-intercepts of a quadratic function

12th - Higher Ed
πŸ‘‰ Learn how to graph a quadratic equation in standard form. To do this we will explore multiple methods such as the intercept method, identifying the vertex, axis of symmetry and identifying points on the graph using a table. Once you...
Instructional Video7:32
Brian McLogan

Learn how to graph a quadratic

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video1:29
Brian McLogan

How to solve a quadratic when there are no solutions

12th - Higher Ed
πŸ‘‰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 Video3:04
Brian McLogan

Evaluate a piecewise function with a jump discontinuity

12th - Higher Ed
πŸ‘‰ Learn how to evaluate a piecewise function. A piecewise function is a function which uses different rules for different intervals. When evaluating a piecewise function, pay attention to the constraints of each function as you can only...
Instructional Video2:11
Brian McLogan

Learn how to find the domain and range including the vertex and axis of symmetry

12th - Higher Ed
πŸ‘‰ Learn how to graph quadratic equations in vertex form. 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 Video4:24
Brian McLogan

How to write an equation in standard and vertex form given a point and vertex

12th - Higher Ed
πŸ‘‰ Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
Instructional Video5:32
Brian McLogan

Learn how to solve a rational equation and identify the extraneous solutions

12th - Higher Ed
πŸ‘‰ Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational expressions, one...
Instructional Video2:27
Brian McLogan

Discontinuities and domain of rational functions

12th - Higher Ed
πŸ‘‰ Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable...
Instructional Video5:48
Brian McLogan

Choosing the right method | Completing the Square

12th - Higher Ed
πŸ‘‰In this video I look at two different techniques for completing the square. Do you have a favorite method or know when one type is prefered over another?
Instructional Video7:27
Brian McLogan

Given One Zero or Factor Find the Remaining Zeros

12th - Higher Ed
πŸ‘‰ Learn how to find all the zeros of a polynomial given one rational zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...
Instructional Video5:59
Brian McLogan

Factoring a monomial from a trinomial

12th - Higher Ed
πŸ‘‰ Learn how to factor polynomials by GCF. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression means to break it...