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Brian McLogan
How to find the center, foci and vertices of an ellipse
Learn how to graph vertical ellipse which equation is in general form. A vertical ellipse is an ellipse which major axis is vertical. When the equation of an ellipse is written in the general form, we first rewrite it in standard form...
Brian McLogan
Learn to graph an ellipse when a and b are fractions
Learn how to graph vertical ellipse centered at the origin. A vertical ellipse is an ellipse which major axis is vertical. To graph a vertical ellipse, we first identify some of the properties of the ellipse including the major radius...
Brian McLogan
Learn how to graph & label the parts of a parabola with completing the square
Learn how to graph a parabola in when it is given in general form. To graph a parabola in conic sections we will need to convert the equation from general form to standard form by completing the square. Once it is in standard form we can...
Brian McLogan
Given the vertices and foci, write the standard 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
Equation of a parabola by completing the square
Learn how to graph a parabola in when it is given in general form. To graph a parabola in conic sections we will need to convert the equation from general form to standard form by completing the square. Once it is in standard form we can...
Brian McLogan
Learning to find the angle between two vectors
Learn how to determine the angle between two vectors. To determine the angle between two vectors you will need to know how to find the magnitude, dot product and inverse cosine. Then, the angle between two vectors is given by the inverse...
Brian McLogan
Factor using the quadratic formula finding real irrational roots
π Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
Summary for solving a quadratic by the square root method
πLearn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
How to graph a quadratic using vertex formula and a table
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
Determining the domain and range from a graph by completing the square to graph
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
How to determine if a set of points is a rectangle, rhombus or square
π Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of...
Curated Video
What Exactly is a Tesseract? (Hint: Not a Superhero Stone)
A tesseract is a 4D cube, i.e. a cube that exists in 4 dimensions. Although fans of the Marvel universe and superheroes may associate tesseract with the glowing blue box that houses the Space stone, a tesseract is a real geometrical...
Curated Video
Graphing Quadratic Functions and Determining Zeros
In this video, the teacher explains how to graph a quadratic function and determine its zeros. They demonstrate the process of substituting values into the quadratic equation, evaluating the exponents, and performing the necessary...
Why U
Algebra 76 - Completing the Square - part 2
In the previous lecture we showed how any quadratic equation can be solved by "completing the square". We also showed geometrically that any general form quadratic expression "x-squared + bx + c" where c has a value of "(b/2) squared" is...
Let's Tute
Ratios of Areas of Similar Triangles
This video demonstrates an activity to verify the theorem on ratios of areas of two similar triangles. It explains how to construct and paint triangles to show that the ratio of their areas is equal to the ratio of the squares of their...
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
How to determine if points are a rhombus, square or rectangle
π Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of...
Curated Video
Demo 3.1 Automated Machine Learning
In this demo video, we will work on automated machine learning. This clip is from the chapter "Fundamental Principles of Machine Learning on Azure (30- 35%)" of the series "AI-900: Microsoft Azure AI Fundamentals Video Course + Ques".In...
Brian McLogan
Learn how to find the domain of a radical function
π Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Brian McLogan
How to write the equation of an ellipse given the vertices and foci
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
Complete the square to identify foci, center, vertices and co vertices for an ellipse
Learn how to graph horizontal ellipse which equation is in general form. A horizontal ellipse is an ellipse which major axis is horizontal. When the equation of an ellipse is written in the general form, we first rewrite it in standard...
Brian McLogan
Finding the component form and magnitude of a vector
Learn how to write a vector in component form given two points and also how to determine the magnitude of a vector given in component form. Given two point vectors with one representing the initial point and the other representing the...
Catalyst University
Molar Susceptibility: Determining Unpaired Electrons
Molar Susceptibility: Determining Unpaired Electrons
Brian McLogan
Conics Graphing an ellipse standard form by completing the square
Learn how to graph vertical ellipse which equation is in general form. A vertical ellipse is an ellipse which major axis is vertical. When the equation of an ellipse is written in the general form, we first rewrite it in standard form...