Curated Video
Exploring Vertical Translations of Linear Equations
In this lesson, students will learn about vertical translations of linear equations. They will explore how these translations affect the graph and algebraic representation of the equations. By understanding the similarities and...
Curated Video
Exploring Horizontal Translations of Linear Equations
In this lesson, students will learn about horizontal translations of linear equations. They will explore the similarities and differences between two functions, F of X and G of X, and understand how the graphs of these functions are...
Brian McLogan
Find Period, Amplitude and Translations of Trigonometric Graphs
👉 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...
Curated Video
Locating the Vertex of a Quadratic Function
In this video, the teacher explains how to identify the location of the vertex of a quadratic function by understanding the translations of the vertex from the origin. The vertex form of a quadratic equation is introduced, which clearly...
Brian McLogan
Graph Reciprocal Trig Functions | Trigonometry | Pre-Calculus
In this video we will explore how to graph the reciprocal function. We will do this by exploring the characteristics of cosecant, secant and cotagent to comparing them to the reciprocal functions, sine, cosine and tangent. We will then...
Brian McLogan
Graphing a quadratic function in vertex form with vertical translation
👉 Learn how to graph quadratic equations in vertex form. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either...
Curated Video
Graphing and Transforming Absolute Value Functions
This video teaches how to graph and transform absolute value functions using the parent function f(x) = |x|. It explains how to identify translations, stretches, shrinks, and reflections, and provides examples for practice.
Brian McLogan
Graphing the Tangent Functions with a Phase Shift
👉 Learn all about graphing trigonometric functions. In this playlist, we will explore how to graph the sine, cosine, tangent, cotangent, cosecant and secant function. We will explore the characteristics of each graph as well as how to...
Brian McLogan
How to translate the sine function three units down
👉 Learn how to graph a sine function. To graph a sine 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 the...
Brian McLogan
Graphing Cosine with a Vertical Translation and a Reflection
👉 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
Learn How to Graph the Cosecant Function with a Phase Shift and Vertical Shift
👉 Learn how to graph a cosecant function. To graph a cosecant function, we start with the sine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the...
Brian McLogan
Graphing the Cosine Graph with Multiple Transformations
👉 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
Graphing and describing a vertical translation y = mod(x) - 2
👉 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
Learning to Graph Cosine with a Reflection and Period Change
👉 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
Graphing the Secant Function with a Horizontal Shift
👉 Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase...
Brian McLogan
How to Find the Amplitude Period and Phase Shift of Sine
👉 Learn how to graph a sine function. To graph a sine 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 the...
Brian McLogan
What are the importnat characteristics of the cosine graph
👉 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 are the important characteristics of the sine and cosine graph
👉 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
Learn How to Graph Cosine with a Vertical Translation
👉 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
Graph the Cotangent Function with a Phase Shift and Change in Period
👉 Learn how to graph a cotangent function. To graph a cotangent function, we first determine the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift...
Brian McLogan
Learn How to Find the Amplitude, Period, Phase Shift and Vertical Translation of Cosine
👉 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
Given different transformations, learn how to write the equation of a cubic function
👉 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...
Curated Video
Learning About Translations in the Coordinate Plane
This video lesson introduces translations as the first of four transformations in this playlist. Students will learn that a translation is a mathematical slide. Students will learn to identify a translation and the effect a translation...
Brian McLogan
How to Graph the Sine Function by Applying a Phase Shift and Vertical Translation
👉 Learn how to graph a sine function. To graph a sine 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 the...