Brian McLogan
Subtracting the two vectors with a scalar and graphing
Learn how to determine the resultant vector by adding, subtracting and multiplying vectors by a scalar. We will also learn how to graph the resultant vectors to show the operations. Vectors can be added, subtracted and multiplied. To add...
Brian McLogan
How to take the third derivative of a polynomial
👉 Learn how to find the higher derivative of a function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a function...
Brian McLogan
Learn how to solve a quadratic equation using the quadratic formula
👉 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
Given a line, name the two planes that intersect at the line
👉 Learn how to label 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 point is...
Brian McLogan
Using a Triangle and Parallel Lines to Find the Value of Angles (mistake)
👉 Learn how to solve for an unknown variable using parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry,...
Brian McLogan
What is the definition of a parabola for 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
Graph an ellipse when it is not in standard form but general form
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
Learn how 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
Reflecting a trapezoid over a line of symmetry
👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of...
Brian McLogan
What do you need to know to write the equation of a 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...
Brian McLogan
Finding the resultant vector of the sum of two vectors
Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors.
Brian McLogan
Direct substitution with the left hand limit
👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...
Brian McLogan
How do the rotations of counter clockwise and clockwise similar
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also...
Brian McLogan
Learn how to determine the local max and min from a graph
👉 Learn how to determine the extrema, the intervals of increasing/decreasing, and the concavity of a function from its graph. The extrema of a function are the points where the graph changes from increasing to decreasing or vice versa. A...
Brian McLogan
Exponential double chain rule trig derivative
👉 Learn how to find the derivative of exponential and logarithmic expressions. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Brian McLogan
Rotating a parallelogram 270 degrees counterclockwise
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also...
Brian McLogan
How to reflect a line over the origin
👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of...
Brian McLogan
How to reflect a triangle over the y=x line
👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of...
Brian McLogan
How to use the quadratic formula to solve a quadratic equation
👉 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
How do we solve quadratic equations
👉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...
Brian McLogan
Summary for solving one variable inequalities
👉 Learn about solving an inequality and graphing it's solution. An inequality is a relation where the expression in the left hand side is not equal to the expression in the right hand side of the inequality sign. A linear inequality is...
Brian McLogan
Using Parallel Lines to Find your Variables X and Y
👉 Learn how to solve for an unknown variable using parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry,...
Brian McLogan
Using Consecutive Interior Angles to Prove Parallel Lines
👉 Learn how to prove parallel lines and relationship between parallel lines and transversals. You also learn how to find the missing value to show you that two angles are supplementary or equal to prove parallel lines. This is based off...
Brian McLogan
Eliminating the parameter for parametric equations quadratic
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...