Brian McLogan
Graphing the exponential function with transformations
π Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...
Curated Video
GCSE Secondary Maths Age 13-17 - Geometry & Measures: Graphs and Transformations - 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
What are even and odd functions
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
Identify the transformations from fx to gx exponential functions
π Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
Label the transformations domain and range from exponential function
π Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Curated Video
Rotating Points Using Angle Measures and Distances
In this video, students will learn how to rotate a point using angle measures and distances. The teacher explains how to create angles using the origin and the X axis, and demonstrates how to measure the angle using a virtual protractor.
Curated Video
Compare Two Functions by Analyzing an Equation and a Graph
Learn how to compare equations and graphs to analyze functions. Understand that a graph is a visual representation of a function relation, while an equation is an algebraic representation. This video emphasizes the importance of...
Curated Video
The History, Mechanics, and Sport of the Boomerang
Trace the boomerang back to its origins as a hunting weapon used by indigenous Australians thousands of years ago to its evolution into a sport and form of entertainment. Discover how the unique construction and spin of a boomerang...
FuseSchool
Plot Cubic Curves
Learn how to plot cubic curves, using a table of values. Substitute in different values of x into the cubic equation, to generate corresponding y-coordinates. This then gives you an x-value and a y-value to plot onto the graph. To plot a...
Brian McLogan
When given the vertices and eccentricity find the equation of an ellipse
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Brian McLogan
Identifying multiple characteristics from the equation of a parabola
We will learn how to graph a quadratic in vertex form and graph a quadratic in standard form by completing the square and rewriting the equation in vertex form. When the quadratic is in vertex form we learn how to identify the axis of...
Brian McLogan
How to graph a parabola with a horizontal axis of symmetry
Learn how to graph a horizontal parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be horizontal if it opens to the left or opens to the right. A horizontal parabola results from a quadratic...
Brian McLogan
Determine if a function is even or odd
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
Identify the transformations and domain and range, square root function
π Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
Summary for solving a quadratic in standard form
πLearn 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...
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
Learn how to graph a system of inequalities with a horizontal boundary line
π Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making...
Brian McLogan
Graphing a quadratic function in standard form
π 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...
Brian McLogan
Given the slope and y intercept graph the equation, slope = 5, y-int = 8
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
How to determine the slope between two points
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...
Looking Glass Universe
The Schrodinger equation made simple - Linearity
Weve talked about the quantum state plenty- but what happens to it over time? Thats exactly the question the Schrodinger equation solves. This video we talk about Linearity. In the next video we discuss the equation itself and its...
Brian McLogan
What is a reflection for a quadratic graph
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
Graphing a system of two inequalities in slope intercept form
π Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making...
Brian McLogan
Rewriting a linear equation in standard form to slope intercept form to identify slope
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...