Instructional Video6:13
Brian McLogan

What is the focus and directrix of a horizontal parabola conics

12th - Higher Ed
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...
Instructional Video2:21
Brian McLogan

What do you need to know to write the equation of a parabola for conic sections

12th - Higher Ed
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...
Instructional Video3:46
Brian McLogan

Learning to write the standard form of a parabola given the focus and vertex

12th - Higher Ed
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...
Instructional Video7:06
Brian McLogan

Learn how to graph a quadratic in standard form using a table and axis of symmetry

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video6:01
Brian McLogan

Learn how to graph a quadratic using the axis of symmetry and table of values

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video5:12
Brian McLogan

Learn how to graph a quadratic equation

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video8:06
Brian McLogan

Graphing and evaluating piecewise functions

12th - Higher Ed
πŸ‘‰ Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Instructional Video8:45
Brian McLogan

Completing the square to identify the foci center and vertices of an ellipse

12th - Higher Ed
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...
Instructional Video7:23
Brian McLogan

Characteristics of a parabola with horizontal axis of symmetry

12th - Higher Ed
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...
Instructional Video3:47
Brian McLogan

Graphing a quadratic function in vertex form with multiple transformations

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video4:50
Brian McLogan

How to write a parabola in standard form given two points

12th - Higher Ed
Learn how to write the equation of a parabola given a point on the parabola. 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...
Instructional Video10:32
Brian McLogan

How to graph a horizontal parabola by completing the square first (mistake)

12th - Higher Ed
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...
Instructional Video2:49
Brian McLogan

Given the focus and vertex write the equation of a parabola

12th - Higher Ed
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...
Instructional Video2:47
Brian McLogan

What is the definition of a circle

12th - Higher Ed
Learn all about the definition and formula that makes up a circle. Understanding the basics of circles will help us graph and write the equation of circles to solve future problems in conic sections. A circle has a center (h,k) and...
Instructional Video5:12
Brian McLogan

Introduction into quadratic equation, roots, zeros and solutions

12th - Higher Ed
πŸ‘‰Learn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic...
Instructional Video4:45
Brian McLogan

Graphing a quadratic function in standard form

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video4:43
Brian McLogan

Finding the value of x using the interior sum theorem for a hexagon

12th - Higher Ed
πŸ‘‰ Learn how to solve for an unknown variable in the interior angle 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...
Instructional Video4:40
Brian McLogan

Write the equation of a parabola given the directrix

12th - Higher Ed
Learn how to write the equation of a parabola given the focus and the directrix. 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)....
Instructional Video4:58
Brian McLogan

What is the focus and directrix for a vertical parabola conics

12th - Higher Ed
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...
Instructional Video3:54
Brian McLogan

How to write the equation of an ellipse in conic sections

12th - Higher Ed
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...
Instructional Video3:30
Brian McLogan

How to write the equation of an ellipse given the center, vertex, and co vertex

12th - Higher Ed
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...
Instructional Video6:07
Brian McLogan

Learn how to graph & label the parts of a parabola with completing the square

12th - Higher Ed
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...
Instructional Video8:35
Brian McLogan

How to find the vertices and foci of an ellipse

12th - Higher Ed
Learn how to graph vertical ellipse not 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...
Instructional Video11:44
Brian McLogan

Equation of a parabola by completing the square

12th - Higher Ed
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...