Brian McLogan
What are roots, zeros and x intercepts and how can we tell the difference
In this video series I will go over the basic definitions used for this video series. We will go over what does solving mean, the zero product property and how can the discriminant help us solve a quadratic equation or function.
Brian McLogan
How to solve a system by graphing with a horizontal line
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
Determine the x and y intercept of a rational function
π Learn how to find the x and y-intercepts of a rational function. The x-intercept(s) of a function occurs when y = 0 and the y-intercept(s) of a function occurs when x = 0. To find the y-intercept of a function, we plug in zero for x...
Brian McLogan
Explaining position velocity and acceration definitions
π Learn how to solve particle motion problems. Particle motion problems are usually modeled using functions. Now, when the function modeling the position of the particle is given with respect to the time, we find the speed function of...
Brian McLogan
Learn how to graph a logarithm with reflections over x and y axis
π Learn how to graph logarithmic functions. The logarithmic function is the inverse of the exponential function. To graph a logarithmic function, it is usually very useful to make the table of values of the function. This is done by...
Brian McLogan
How to describe and graph a reflection of an absolute value function
π Learn about graphing absolute value equations. An absolute value equation is an equation having the absolute value sign and the value of the equation is always positive. The graph of the parent function of an absolute value equation is...
Brian McLogan
How to find the inverse of a rational function and verify it's inverse
π Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One...
Brian McLogan
How to find the inverse of a direct variation function
π Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One...
Brian McLogan
Graphing logarithmic equations
π Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a...
Brian McLogan
Graphing an logarithmic equation using transformations
π Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a...
Curated Video
GCSE Secondary Maths Age 13-17 - Graphs: Graphical Solution for Simultaneous Equations - 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
How to understand odd functions and how we can determine a function
π Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Brian McLogan
Graph a Piece Wise Function With the Reciprocal and Square Root
π Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Brian McLogan
What is the reflection of a trigonometric cosine graph
π 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...
Brian McLogan
What is the definition of a reference angle and how do I use it
π Learn about angles in trigonometry. An angle is the figure formed by two rays sharing the same endpoint. The two rays are called the sides of the angle while the common endpoint of the two rays is called the vertex of the angle. Angle...
Curated Video
Stretch and Shrink Linear Functions
In this video lesson we will learn how to describe horizontal stretches and shrinks, as well as, vertical stretches and shrinks. We will learn that horizontal stretches and shrinks multiply each input by a factor and the function and its...
msvgo
Zeros and Coefficients of a Polynomial
It explains the relation between the Zeros and Coefficients of a linear polynomial, a quadratic polynomial and a cubic polynomial.
Get Me Coding
Learn to Move Your Scratch Sprite Part 2
A continuation from Part 1 where you learn to make your sprite move
Brian McLogan
Find the midpoint between two points w(β12,β7), T(β8,β4)
π Learn how to find the midpoint between two points. The midpoint between two points is the point halfway the line joining two given points in the coordinate plane. To find the midpoint between two points we add the x-coordinates of the...
IDG TECHtalk
How to add color to your ggplot2 text in R
See how to style your headlines, axis text, and more in your ggplot graphs with the R ggtext package.
Brian McLogan
Why not all angles have reference angles
π Learn about angles in trigonometry. An angle is the figure formed by two rays sharing the same endpoint. The two rays are called the sides of the angle while the common endpoint of the two rays is called the vertex of the angle. Angle...
Brian McLogan
How do you graph an equation using the intercept method
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
Learning how to determine end behavior of any polynomial
π Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...