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Brian McLogan
What do I have to know to graph the sine and cosine function
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
Solve a system of inequalities with vertical and horizontal lines
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
What is everything you need to know to graph 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
How to graph a linear equation when it is in slope intercept form, y = 2x + 1
π Learn how to graph linear equations written in slope intercept form. When given a linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is the slope and c is the y-intercept). We first plot the y-intercept and...
Brian McLogan
Graphing a linear equation in slope intercept form
π Learn how to graph linear equations written in slope intercept form. When given a linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is the slope and c is the y-intercept). We first plot the y-intercept and...
KnowMo
Trigonometric Graphs: Understanding the Shapes and Symmetry
In this video, the presenter discusses trigonometric graphs and their periodic nature. They explain how the sine, cosine, and tangent graphs repeat every 360 degrees in either direction and how this can lead to multiple answers for...
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.
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...
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
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 t
he...
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 t
he...
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...