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Brian McLogan
How to write the equation of a line parallel to another through a point
👉 Learn how to write the equation of a line that is parallel to a given line. 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...
Brian McLogan
graphing an equation in standard form using the x and y intercepts 5x + 2y = 8
👉 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...
Curated Video
Sketching Quadratics with a ≠ 1: Finding Turning Points and Intercepts
The video is a lecture presentation on how to sketch quadratic graphs when the value of "a" is not equal to 1. The lecturer explains the basics of quadratic graphs, including their U or N shapes, turning points, and lines of symmetry....
Brian McLogan
Graphing a parabola with a horizontal and vertical translation
In this video playlist I show you how to solve different math problems for Algebra, Geometry, Algebra 2 and Pre-Calculus. The video will provide you with math help using step by step instruction. Math help tutorials is just what you need...
Brian McLogan
Find intervals that a function is increasing and decreasing
👉 Learn how to determine increasing/decreasing intervals. There are many ways in which we can determine whether a function is increasing or decreasing but we will focus on determining increasing/decreasing from the graph of the function....
Brian McLogan
Learn how to evaluate for an angle by sketching the angle and using reference angles
👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Brian McLogan
What is the trigonometric graph of cosine
👉 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
Evaluating for all six trig functions for a point on the unit circle
👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Brian McLogan
Solving for cosine by factoring
👉 Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together...
Brian McLogan
What is intercept form
👉 Learn how to graph a quadratic equation in standard form. To do this we will explore multiple methods such as the intercept method, identifying the vertex, axis of symmetry and identifying points on the graph using a table. Once you...
Curated Video
Python for Data Analysis: Step-By-Step with Projects - Relationship of Two Features (1)
This video explains the relationship of two features part 1.
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This clip is from the chapter "Exploratory Data Analysis" of the series "Python for Data Analysis: Step-By-Step with Projects".This section explains exploratory...
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This clip is from the chapter "Exploratory Data Analysis" of the series "Python for Data Analysis: Step-By-Step with Projects".This section explains exploratory...
Brian McLogan
What does a exponential graph look like and what are the transformations
👉 Learn all about graphing exponential functions. An exponential function is a function whose value increases rapidly. To graph an exponential function, it is usually useful to first graph the parent function (without transformations)....
Brian McLogan
Understanding transformations of quadratics in vertex form
👉 Learn how to graph quadratic equations by completing the square. 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...
Brian McLogan
Learn to graph a logarithmic equation and find the x intercept
👉 Learn how to graph logarithmic functions involving vertical shift. 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...
Brian McLogan
Find all the possible real positive, real negative and complex zeros of a polynomial
👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
Brian McLogan
How to graph an absolute value inequality with a vertical stretch & vertical compression
👉 Learn how to graph absolute value inequalities. An absolute value inequality is an inequality having the absolute value sign. The graph of the parent function of an absolute value inequality is a v-shaped graph starting from the origin...
Brian McLogan
How to graph absolute value equations
👉 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
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...
Brian McLogan
Graphing a quadratic equation using 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...
Zach Star
When the FBI had too many fingerprints in storage - The mathematics of image compression
When the FBI had too many fingerprints in storage - The mathematics of image compression
Curated Video
Measuring Income Inequality within an Economic System
This video explains how income inequality can be measured within an economic system using the Lorenz curve and the Gini index. The presenter explains the Lorenz curve and how it visually represents the state of inequality within a...
Flipping Physics
Torque - Mass on Plank with String
A 0.300 kg mass rests on a 0.395 m long, 0.764 kg, uniform wooden plank supported by a string as shown in the figure. If the mass is 0.274 m from the wall and the angle between the string and the plank is 32.1°, (a) What is the force of...
Curated Video
Advantages of Representing Data on a Histogram
This video discusses the advantages of representing data on a histogram. It explains how histograms group data together in intervals, show symmetry, trends, and gaps, and provide information about the frequency of data within each...