Brian McLogan
Solve the system of equations by graphing
πTo solve a system of equations means to obtain a common x-value and a common y-value that makes the each of the equation in the system true. To solve a system of equations by graphing means to obtain the point of intersection (if any)...
Brian McLogan
Write the equation of a parabola given a vertex and point
π 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...
Brian McLogan
Learn how to determine the feasible region of three linear inequalities ex 16
In this video series you will learn how to graph a system of linear inequalities. When graphing a system of linear inequalities you will graph just like a system of linear equations except you will use test points to shade.
Brian McLogan
MASTER writing a quadratic in vertex form by completing the square to identify the vertex
MASTER writing a quadratic in vertex form by completing the square to identify the vertex
Curated Video
Finding Zeros of Quadratic Functions: Factoring the Difference of Two Squares
In this video, the teacher explains how to find the zeros of a quadratic function by factoring the difference of two squares. They provide examples and demonstrate the process step by step.
Brian McLogan
Pre-Calculus - Finding the missing sides of a 45 45 90 triangle using special relationships
π Learn about the special right triangles. A special right triangle is a right triangle having angles of 30, 60, 90, or 45, 45, 90. Knowledge of the ratio of the length of sides of a special right triangle enables us to solve for any...
Brian McLogan
Apply operations and then write the polynomial in standard form and find degree and LC
π Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the the highest power (exponent) of the individual terms that make up the polynomial. For terms with more...
Brian McLogan
How to rewrite an equation from standard form to slope intercept form 3xβ7y=14
π Learn how to write the equation of a line in a point-slope form. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms which we can...
Curated Video
GCSE Secondary Maths Age 13-17 - Number: Standard Form - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow steps. This video...
Curated Video
GCSE Secondary Maths Age 13-17 - Number: Standard Form - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow steps. This video...
Brian McLogan
Create the Unit Circle | Do you understand?
Create the Unit Circle | Do you understand?
Brian McLogan
Rewriting a number in decimal form to DMS form
π Learn how to convert angles from decimal forms to DMS forms. DMS means Degree, Minutes, and Seconds. Minutes is represented by a single apostrophe (') while seconds is represented with double apostrophe ("). 60 seconds = 1 minute and...
Brian McLogan
How to find the perimeter of a sector using arc length formula
π Learn how to solve problems with arc lengths. You will learn how to find the arc length of a sector, the angle of a sector, or the radius of a circle. An arc of a circle is the curve between a pair of points on the circumference of the...
Brian McLogan
Graphing the Cosine Curve with a Period Shift
π Learn how to graph a cosine function. To graph a cosine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from...
Brian McLogan
12 Quadratics Solved | Completing the Square
In this video I work through 12 examples of solving quadratic equations using the square root method and completing the square. Even though we could solve each quadratic equation by factoring or completing the square I go through the...
Brian McLogan
What are the domain and range of our most basic parent functions
Learn how to determine the domain and range of a function given the graph of the function. Since the domain of a function is the set of all x-values we will want to identify how far left the graph goes as well as how far right to...
Brian McLogan
Master Graphing Horizontal and Vertical Lines
Master Graphing Horizontal and Vertical Lines
Brian McLogan
What are the formulas for the sum and difference of two cubes
π Learn how to factor polynomials using the sum or difference of two cubes. 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...
Brian McLogan
How to divide two polynomials using long division
π Learn how to divide polynomials by quadratic divisors using the long division algorithm. Before dividing a polynomial, it is usually important to arrange the divisor in the descending order of powers of the variable(s). To divide a...
Brian McLogan
Find the parabola given the vertex and point
π 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...
Curated Video
Applications for Completing the Square
This video is the third in a series relative to completing the square. This video will review how to use the method completing the square to write a quadratic equation in vertex form from standard form. Topics covered in this video:...
Curated Video
Derive the Quadratic Formula
In this video I will derive the Quadratic Formula by Completing the Square to the standard form for a quadratic equation. Have you ever wondered where the quadratic formula came from? Do you struggle to understand why such a complicated...
Brian McLogan
How do you find the axis of symmetry and vertex in standard form
π 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
Putting an equation in standard form and then graphing
π Learn how to graph linear equations written in standard form. When given a linear equation in standard form, to graph the equation, we first rewrite the linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is...