Brian McLogan
Graphing the reciprocal function with a reflection
👉 Learn how to graph the reciprocal function. A reciprocal function is a rational function whose expression of the variable is in the denominator. A reciprocal function is of the form f(x) = a / (x + h) + k, where h is the vertical...
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 on a Coordinate Plane: Understanding Quadrants and Ordered Pairs
This video provides a clear and concise explanation of the key points for graphing on a coordinate plane, including vocabulary, quadrants, and how to plot ordered pairs. It also includes interactive exercises for viewers to practice...
Curated Video
Graphing Linear Equations in Slope-Intercept Form
In this video, we learn about slope-intercept form in linear equations. The teacher explains how to identify the slope and y-intercept, and how to use them to graph a line. The lesson is broken down into simple steps, making it easy to...
Science360
INSIDE YELLOWSTONE'S PLUMBING
In Episode 10, Charlie and Jordan take a peek at Yellowstone's plumbing, chat about a new malaria model for blood cells and discuss the darling material of the nanotech world--graphene.
Brian McLogan
Learn how to graph an equation in standard form using the intercept method
👉 Learn how to graph linear equations written in standard form. When given a linear equation in standard form, to graph the equation, we first rewrite the linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is...
Brian McLogan
How to graph an identity function
👉 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 standard form using the intercept method
👉 Learn how to graph linear equations written in standard form. When given a linear equation in standard form, to graph the equation, we first rewrite the linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is...
Brian McLogan
Graphing a linear equation by rewriting from standard form to slope intercept form
👉 Learn how to graph linear equations written in standard form. When given a linear equation in standard form, to graph the equation, we first rewrite the linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is...
Brian McLogan
Summary for graphing the sine and cosine function
👉 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
How to graph the inverse sine given the graph of sine
👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function,...
Brian McLogan
Learn How to Graph the Cosecant Function with a Change in Period
👉 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
Learn How to Easily Graph the Cosecant Function by Graphing Sine
👉 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
How to Graph Tangent with a Period Change
👉 Learn how to graph a tangent function. To graph a tangent 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 (the...
Brian McLogan
How Do We Graph Sine with a Horizontal Shift to the Right
👉 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 a Cosine Function with a Horizontal 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
Given end points of the transverse axis, length of conjugate axis to write the equation
Learn how to write the equation of hyperbolas given the characteristics of the hyperbolas. The standard form of the equation of a hyperbola is of the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2...
Brian McLogan
Given the length of the transverse axis, and foci, write the equation of a hyperbola
Learn how to write the equation of hyperbolas given the characteristics of the hyperbolas. The standard form of the equation of a hyperbola is of the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2...
Brian McLogan
What do I need to know to graph the secant and cosecant function
👉 Learn the basics of graphing the secant and the cosecant graphs. Recall that the secant is the reciprocal of the cosine while the cosecant is the reciprocal of the sine. Also recall that the cosine graph is a sinusoidal graph with...
Brian McLogan
Given a Phase Shift and Change in Period | How to Graph Tangent Function
👉 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
Learn how to solve a linear programming problem
Learn how to solve problems using linear programming. A linear programming problem involves finding the maximum or minimum value of an equation, called the objective functions, subject to a system of inequalities, called the constraints....
Brian McLogan
Solving a system of equations by graphing and then algebraically
👉To 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
Comparing the exponetial and logarithmic graphs
👉 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
Learn how to use the parent graph to graph a quadratic with transformations
👉 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...