Brian McLogan
What do I need to know to expand logarithmic expressions
👉 Learn how to condense/expand logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the...
Brian McLogan
Summary for Expanding logarithmic expressions
👉 Learn how to condense/expand logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the...
Brian McLogan
Understanding the basic transformations of graphs for Pre Calculus
👉 Learn how to determine the transformation of a function. Transformations can be horizontal or vertical, cause stretching or shrinking or be a reflection about an axis. You will see how to look at an equation or graph and determine the...
Brian McLogan
How to write the domain of a rational function with a radical in denominator
👉 Learn how to find the domain of rational functions with a radical denominator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero...
Brian McLogan
Master Labeling angles given parallel lines and a transversal
Master Labeling angles given parallel lines and a transversal
Brian McLogan
What is exponential and logarithmic form
👉 Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how...
Brian McLogan
What is the focus and directrix of a horizontal parabola conics
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
What do you need to know to write the equation 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
Transformations of a function - How to do Pre-Calc
👉 Learn how to determine the transformation of a function. Transformations can be horizontal or vertical, cause stretching or shrinking or be a reflection about an axis. You will see how to look at an equation or graph and determine the...
Brian McLogan
Evaluate the identity using sum and difference formula
👉 Learn how to verify the sum and difference of two angles trigonometric identities using the sum/difference formulas. To verify an identity means to ascertain that the left-hand side is equal to the right-hand side of the equality sign....
Brian McLogan
Evaluate the limit at infinity with square root
👉 Learn how to evaluate the limit of a function by rationalizing the radical. 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 limit...
Brian McLogan
Reflecting a square over the x axis
👉 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
Learn how to use the slope formula to determine the slope between two points
👉 Learn how to find the slope between two points. The slope of a line is the steepness of the line. The horizontal line has a zero slope while the vertical line has an undefined slope. To determine the slope of a line passing through two...
Brian McLogan
How To Find the Value of a Variable 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
What is the Alternate Exterior Angle Converse Theorem
👉 Learn about converse theorems of parallel lines and a transversal. 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, parallel lines are...
Brian McLogan
Using Alternate Interior Angles to Find the Missing Measure of an Angle
👉 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
Finding the quotient of two mixed numbers
👉 Learn how to divide mixed numbers. To divide mixed numbers, we first convert the mixed numbers to improper fractions. After we have converted the mixed numbers to improper fractions, we can then multiply the first fraction by the...
Brian McLogan
Learn to convert an equation to vertex form to graph your ellipse
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 graph the equation of an ellipse when the center is at the origin
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...
Brian McLogan
Given the values of two terms of an arithmetic sequence find the first four terms
👉 Learn how to determine the first five terms of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a...
Brian McLogan
Analyze the characteristics of multiple functions
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Brian McLogan
Given a Vector in Component Form, Find the Unit Vector
Learn how to determine the unit vector of a vector in the same direction. The unit vector is a vector that has a magnitude of 1. The unit vector is obtained by dividing the given vector by its magnitude.
Brian McLogan
Learn how to find the angle of the vector in the 4th quadrant
Learn how to determine the magnitude and direction of a vector. The magnitude of a vector is the length of the vector. The magnitude of a vector is obtained by taking the square root of the sum of the squares of the components of the...
Brian McLogan
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...