Instructional Video5:13
Brian McLogan

Learn to graph an ellipse when a and b are fractions

12th - Higher Ed
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...
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 Video6:16
Brian McLogan

How to Graph a Piecewise Function

12th - Higher Ed
πŸ‘‰ Learn how to graph piecewise functions. A piecewise function is a function that has 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 Video3:51
Brian McLogan

How to Graph a Piecewise Function With Constraints

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 Video4:32
Brian McLogan

Using the vertex determine the domain and range of a parabola

12th - Higher Ed
πŸ‘‰ Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic...
Instructional Video7:25
Brian McLogan

How to graph a quadratic using vertex formula and a table

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 Video6:08
Brian McLogan

Graphing a linear system of inequalities and shading their solution

12th - Higher Ed
πŸ‘‰ Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making...
Instructional Video9:30
Brian McLogan

Determining the domain and range from a graph by completing the square to graph

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 Video3:49
Brian McLogan

What do I need to know to graph linear inequalities

12th - Higher Ed
πŸ‘‰ Learn how to graph linear inequalities. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used...
Instructional Video3:56
Brian McLogan

What is the definition of a relation

12th - Higher Ed
πŸ‘‰ Learn about every thing you need to know to understand the domain and range of functions. We will look at functions represented as equations, tables, mapping, and ordered pairs. The domain is the set of all possible x or input values...
Instructional Video6:06
Brian McLogan

What is a dialation for a quadratic graph

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video6:37
Brian McLogan

Graphing a quadratic using a table

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 Video4:28
Brian McLogan

What is relative minimum and maximmum of a quadratic

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video5:18
Brian McLogan

Learn how to graph a system of two linear inequalities when the slope is 1

12th - Higher Ed
πŸ‘‰ Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making...
Instructional Video8:13
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 Video6:36
Brian McLogan

Graphing a linear inequality

12th - Higher Ed
πŸ‘‰ Learn how to graph linear inequalities written in slope-intercept form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also...
Instructional Video2:17
Brian McLogan

Graph an equation with a negative fractional slope

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video5:42
Brian McLogan

How to solve and graph a compound inequality as AND

12th - Higher Ed
πŸ‘‰ Learn how to solve and graph compound linear inequalities. A compound inequality is an inequality having more than 1 inequality sign. To solve compound inequalities, we use inverse operations, applying the inverse operation to each...
Instructional Video3:59
Brian McLogan

Solving a linear system of two equations by graphing

12th - Higher Ed
πŸ‘‰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)...
Instructional Video5:32
Brian McLogan

Graphing exponential growth functions

12th - Higher Ed
πŸ‘‰ Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...
Instructional Video2:40
Brian McLogan

How do you write the equation for 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 Video4:22
Brian McLogan

Graph a horizontal parabola when the distance to the focus is a fraction

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 Video13:46
Brian McLogan

Complete the square to identify foci, center, vertices and co vertices for 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 Video7:36
Brian McLogan

Graphing Piecewise Functions With Three Equations

12th - Higher Ed
πŸ‘‰ Learn how to graph piecewise functions. A piecewise function is a function that has 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...