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 Video4:53
Brian McLogan

Rewriting a polar equation in rectangular form

12th - Higher Ed
Rewriting a polar equation in rectangular form
Instructional Video4:17
Brian McLogan

Rectangular to polar point conversion

12th - Higher Ed
Learn how to convert points between rectangular and polar. Rectangular points measure the horizontal and vertical distance away from the origin whereas polar coordinates measure the direct distance and angle in standard position from the...
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 Video3:16
Brian McLogan

Solve a system of linear equations using substitution

12th - Higher Ed
πŸ‘‰Learn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Instructional Video3:51
Brian McLogan

How to Use the Distributive Property to Multiply Binomials - Polynomials

12th - Higher Ed
πŸ‘‰ Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the...
Instructional Video2:35
Brian McLogan

Graphing a vertical linear equation from a table

12th - Higher Ed
πŸ‘‰ Learn how to graph linear equations from the table of points. When given the table of points of a linear equation, we plot the x and y coordinates of the given table on the cartesian plane and join the ploted points to form a straight...
Instructional Video2:05
Brian McLogan

Graph an equation when provided the slope and y intercept

12th - Higher Ed
πŸ‘‰ Learn how to graph linear equations given the slope and the y-intercept. When given the slope and the y-intercept of a linear graph, we first plot the y-intercept and using the slope, we can determine the rise and the run of 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 Video8:13
Brian McLogan

How to find the vertices, foci and center of an ellipse

12th - Higher Ed
Learn how to graph horizontal ellipse not centered at the origin. A horizontal ellipse is an ellipse which major axis is horizontal. To graph a horizontal ellipse, we first identify some of the properties of the ellipse including the...
Instructional Video52:53
Brian McLogan

How to set up trig word problems | 26 Examples

12th - Higher Ed
In this video I show you how to set up an equation and picture from a word problem. Most of the time students have trouble with word problems because they do not know what to look for or how to solve. So I work through 28 different...
Instructional Video13:29
Brian McLogan

How to find the center, foci and vertices of an ellipse

12th - Higher Ed
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...
Instructional Video2:28
Brian McLogan

How to apply the quadratic formula to find one solution

12th - Higher Ed
πŸ‘‰ 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...
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 Video5:09
Brian McLogan

Solving a quadratic using quadratic formula with two real solutions

12th - Higher Ed
πŸ‘‰ 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...
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 Video12:06
Brian McLogan

Conics Graphing an ellipse standard form by completing the square

12th - Higher Ed
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...
Instructional Video8:10
Brian McLogan

How to sketch the graph of a parabola in standard form

12th - Higher Ed
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...
Instructional Video8:22
Brian McLogan

Graph an ellipse by first completing the square

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 Video5:41
Brian McLogan

Given the vertex and directrix, learn to write the standard form of a parabola

12th - Higher Ed
Learn how to write the equation of a parabola given the vertex 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 Video5:35
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...