Brian McLogan
Solving an exponential equation with a fraction as the exponent
π Learn about solving exponential equations. Exponential equations are equations involving exponents. To solve an exponential equation, we express the terms in both sides of the equality sign as single terms. Then, we express the single...
Brian McLogan
Applying the one to one property to solve an equation with exponents
π Learn how to solve exponential equations involving fractions. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we make the base of both sides of the equation to be...
Brian McLogan
Identify the transformations, domain and range of the reciprocal function
π Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
How to write the domain of a rational function with a radical in denominator
π 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...
Why U
Pre-Algebra 08 - Multiplying Negative Numbers
When number systems were expanded to include negative numbers, rules had to be formulated so that multiplication would be consistent regardless of the sign of the operands.
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
Transformations of a function - How to do Pre-Calc
π 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
Learning to write the standard form of a parabola given the focus and vertex
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...
Brian McLogan
Evaluate the limit at infinity with square root
π 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
π 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...
All Ears English
AEE Bonus: 'Face' Idioms and Exclusive IELTS Live Classes
AEE Bonus: 'Face' Idioms and Exclusive IELTS Live Classes
Brian McLogan
How to determine the degree and leading coefficient given the graph of a polynomial
π Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the the highest power (exponent) of the individual terms that make up the polynomial. For terms with more...
Brian McLogan
How to Use Elimination to Solve a System of Equations
πLearn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves...
Brian McLogan
How to Determine When a System of Equation Has no Solution by Elimination
πLearn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves...
Brian McLogan
Solve the system of equations by using substitution
πLearn 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...
Brian McLogan
Learn how to graph a quadratic equation
π 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...