Brian McLogan
Learn how to graph a positive angle in standard form
👉 Learn how to sketch angles in terms of pi. An angle is the figure formed by two rays sharing the same endpoint. Angle is measured in radians or in degrees. One complete revolution about a point is equivalent to 2pi radians and 360...
Brian McLogan
How to Determine the Period and Amplitude of a Trigonometric Graph
👉 Learn how to graph a sine function. To graph a sine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the...
Brian McLogan
Given a whole number in radians find the quadrant the angle lies
👉 Learn how to determine the quadrant of an angle given in radians. Recall that 1 radian is the distance on the circumference of the circle that is equivalent to the radius of the circle. Also, recall that the circumference of a circle...
Brian McLogan
Find the reference angle and sketch both angles in standard position
👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies...
Brian McLogan
Learn how to write the end behavior from a polynomial in factored form
👉 Learn how to determine the end behavior of the graph of a factored polynomial function. To do this we will first need to make sure we have a polynomial in standard form (i.e. we will expand all factored terms) with descending powers....
Brian McLogan
Graphing absolute value equation with a horizontal shift translation
👉 Learn about graphing absolute value equations. An absolute value equation is an equation having the absolute value sign and the value of the equation is always positive. The graph of the parent function of an absolute value equation is...
Brian McLogan
Finding the vertex from a quadratic equation by using the standard form
👉 Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
Given different transformations, learn how to write the equation of a cubic function
👉 Learn how to write the equation of a polynomial when given rational zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...
Brian McLogan
Algebra 2 - Learn to simplify a radical using the imaginary unit i, sqrt(-25)
In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...
Brian McLogan
Algebra 2 - How to multiply two binomials with complex numbers, (3 - 2i) (4 + sqrt(-9))
In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...
Brian McLogan
Transforming an equation from standard form to vertex form
👉 Learn how to write a quadratic equation from standard form to vertex form by completing the square. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. It is of the form f(x) = ax^2 + bx + c. Given a...
Brian McLogan
Sketching the graph of a polynomial using the zeros and multiplicity
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the...
Brian McLogan
Writing an equation in vertex form from quadratic form
👉 Learn how to write a quadratic equation from standard form to vertex form by completing the square. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. It is of the form f(x) = ax^2 + bx + c. Given a...
Brian McLogan
Master Classifying Conic Sections - Parabola, Circle, Ellipse, Hyperbola
Master Classifying Conic Sections - Parabola, Circle, Ellipse, Hyperbola
Brian McLogan
Using the remainder theorem and checking your answer with synthetic division
👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear...
Brian McLogan
Learn how to convert to vertex form by completing the square and then graph, y=x^2+4x+7
👉 Learn how to graph quadratic equations by completing the square. 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...
Brian McLogan
How to solve a system by graphing lines
👉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)...
Brian McLogan
What are the two equations for a parabola in 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
When do you know if a relations is in linear standard form
👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must...
Curated Video
Graphing Quadratic Equations
In this video, the teacher explains how to graph a quadratic equation using the axis of symmetry, vertex, and T chart. They use the example of a small roller coaster at a kiddie park, showing how to find the height difference from the...
Brian McLogan
Summary for writing an equation in slope intercept form
Want more math video lessons? Visit my website to view all of my math videos organized by course, chapter and section. The purpose of posting my free video tutorials is to not only help students but allow teachers the resources to flip...
Brian McLogan
Find x and y intercepts of a rational equation not in standard form
👉 In this playlist you will learn how to graph a linear equation in standard form, slope intercept form as well as when the slope and y intercept are provided. In addition to graphing linear equations we will also learn how to determine...
Brian McLogan
Graphing an inequality when it is in standard form ex 14
👉 Learn how to graph linear inequalities written in standard 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 broken...