Packt
Compare the breadth-first and depth-first search algorithms : Using Breadth-First Search (BFS)
From the section: Searching in Graphs. In this section, we will see what we are searching for. Also, we will look at how to use and implement Breadth-First Search and Depth-First Search along with a simple puzzle game example. Learn the...
Curated Video
Finding the Measure of Circumscribed Angles: Relationships with Central Angles
In this video, we learn how to find the measure of a circumscribed angle by understanding the relationship between central angles and circumscribed angles. By manipulating angles within quadrilaterals and using the properties of...
Brian McLogan
Summary for writing the equation of an ellipse for conic sections
Learn all about ellipses for conic sections. We will discuss all the essential definitions such as center, foci, vertices, co-vertices, major axis and minor axis. We will also discuss the essential processes such as how to graph and...
Brian McLogan
Learn how to use the formula for vertex and axis of symmetry to graph a parabola
👉 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
Where does the interior angle sum theorem come from
👉 Learn about the interior and the exterior angles of a polygon. A polygon is a plane shape bounded by a finite chain of straight lines. The interior angle of a polygon is the angle between two sides of the polygon. The sum of the...
Curated Video
Drawing Triangles: Connecting Three Straight Sides
In this video, the teacher explains how to draw a triangle by connecting three straight sides. They address common misunderstandings about triangles, such as the sides not needing to be straight or the same length.
Zach Star
A visibility problem, how many guards are enough?
The video explains the proof of 'The Art Gallery Problem'. There are different versions of this problem (such as where guards can be placed) but we will focus on the most well known one where guards are forced to be in corners (and can...
Brian McLogan
Write the equation in standard form by completing the square to find vertex, focus and directrix
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
Graphing a quadratic by converting to 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 which...
Brian McLogan
How do you graph a parabola using conic sections
Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and...
Brian McLogan
Given the vertex and focus learn to write the equation of the parabola in standard form
Learn how to write the equation of a parabola given the vertex and the focus. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared). Recall...
Brian McLogan
Graphing a quadratic function in standard form
👉 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
Learn how to use a table to graph a quadratic equation
👉 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 a point line and plane
👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A...
Packt
Graph Traversal
This video introduces you to graph traversals. This clip is from the chapter "Algorithms: Graph Traversal" of the series "Data Structures and Algorithms: The Complete Masterclass".This section explains the concept of graph traversals.
Brian McLogan
Finding the equation of a quadratic in vertex form by looking at the graph
👉 Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
Brian McLogan
Find the vertex and x intercepts of a quadratic
👉 Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
What are the focus and directrix in a parabola with conic sections
Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and...
Brian McLogan
How to complete the square to identify the vertex 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
What is the relative mininum or maximum of a quadratic
👉 Learn the essentials for graphing a quadratic equation. 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
Finding Polynomial Equations Using Zeros
In this lesson, students will learn how to mathematically model an arched bridge by finding a second degree polynomial equation using the zeros of its graph. They will understand how to determine the X intercepts and the line of...
Brian McLogan
Graphing a vertical parabola by putting into vertex form
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
Learn how to graph a parabola in conic sections
Learn how to graph a parabola in standard form when the vertex is not at the origin. We will learn how to graph parabola's with horizontal and vertical openings. In addition to graphing you will also learn how to identify the important...
Brian McLogan
What is the focus and directrix of a vertical parabola
Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and...