Brian McLogan
How to determine the domain and range and graph
π Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic...
Brian McLogan
Applying substitution to solve a system of equations with infinite many solutions
πLearn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Brian McLogan
Learn to write the equation in slope intercept form & identify the slope & y intercept ex 1
π Learn how to write the equation of a line given two points on the line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which...
Brian McLogan
Find the slope between two positive coordinates
π Learn how to find the slope between two points. The slope of a line is the steepness of the line. The horizontal line has a zero slope while the vertical line has an undefined slope. To determine the slope of a line passing through two...
Brian McLogan
Determine if a set of points is a parallelogram using the distance formula
π Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of...
Curated Video
Finding Complex Solutions of Quadratic Equations
This video explains how to find complex solutions of quadratic equations using the method of completing the square. It provides step-by-step instructions on isolating variables, finding perfect square trinomials, and using the square...
Curated Video
Create a computer vision system using decision tree algorithms to solve a real-world problem : Activation Functions
From the section: Artificial Neural Networks. In this section, weβll learn about ANN. Artificial Neural Networks: Activation Functions
Brian McLogan
When a is Greater Than One Factor the Polynomial
πLearn 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...
Brian McLogan
Learning to solve a quadratic with two irrational solutions using quadratic formula
π 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 to solve using the square root method
πLearn 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
Summary for graphing an equation in slope intercept form
π Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To...
Brian McLogan
Find the equation of a line given two points
π Learn how to write the equation of a line given two points on the line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which...
Brian McLogan
Graphing a linear equation in slope intercept form
π Learn how to graph linear equations given the slope and the y-intercept. When given the slope and the y-intercept of a linear graph, we first plot the y-intercept and using the slope, we can determine the rise and the run of the...
Brian McLogan
Where does the distance formula come from
π Learn how to find the distance between two points. The distance between two points is the length of the line joining the two points in the coordinate plane. To find the distance between two points in the coordinate plane, we make use...
Brian McLogan
Dividing two numbers in scientific notation then rewriting answer in scientific notation
π Learn how to divide numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first...
Curated Video
Sketching Cubic Functions with Unfactored Elements
This is a lecture presentation on sketching cubic functions and identifying their intercepts and turning points. The presenter explains the general shape of a cubic function and different factorized forms for cubic functions with one,...
Curated Video
Proof by Deduction and Examples
In this video, the topic of "proof by deduction" is discussed. The concept of logical consequence is introduced and explained, and various examples are provided to demonstrate how to use proof by deduction to prove mathematical...
Brian McLogan
Learn to write the polynomial give two real zeros
π Learn how to write the equation of a polynomial when given rational zeros. Recall that 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...
Brian McLogan
Algebra 2 - Learn how to divide a real number by a complex number by simplifying, -3/(5 + i)
In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...
Brian McLogan
Break down of rule of logarithms compared to rules of exponents
π Learn how to condense/expand logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the...
Brian McLogan
Graph a parabola with the vertex and fractions
Learn how to graph a parabola in standard form when the vertex is not at the origin. We will learn how to graph parabola's with horizontal and vertical openings. In addition to graphing you will also learn how to identify the important...
Brian McLogan
Finding the standard form of a parabola given directrix and vertex
Learn how to write the equation of a parabola given the vertex and the directrix. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared)....
Brian McLogan
Pre-Calculus - How to Evaluate Using the Double Angle Formula for Cosine
π Learn how to evaluate the double angle of sine. The value of the sine of double a given angle can be obtained given the value of the sine of the angle. The value of the sine of double a given angle is obtained using the formula sin(2u)...
Brian McLogan
How to graph the resultant vector from the difference of two vectors
Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors.