Brian McLogan
Master Graphing a quadratic by converting from standard to vertex form by completing the square
Welcome, ladies and gentlemen. So, what I'd like to do is show you how to graph a quadratic in vertex form when it's in standard form. And there's a couple different ways we can do this. Obviously, we could use some different methods to...
Brian McLogan
Master How to solve a quadratic equation by completing the square
So what I'd like to do is show you how to solve a quadratic equation and by completing the square. Now, typically, completing the square, we look into factoring. And if it's not factorable, we can use the quadratic formula. Now, a...
KnowMo
Standard Form with Negative Powers
This video provides an introduction to standard form with negative powers, which is a way to express extremely small numbers in a simplified format using scientific notation with a negative exponent. The presenter explains the structure...
Brian McLogan
How to find the degree and leading coefficient of a polynomial (mistake)
👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the highest power (exponent) of the individual terms that make up the polynomial. For terms with more that...
Brian McLogan
Determining the leading coefficient and degree not in standard form
👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the highest power (exponent) of the individual terms that make up the polynomial. For terms with more that...
Brian McLogan
Learn to graph the identity equation using the slope intercept method
👉 Learn how to graph linear equations written in slope intercept form. When given a linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is the slope and c is the y-intercept). We first plot the y-intercept and...
Brian McLogan
Determine the point on the unit circle for an angle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the...
Brian McLogan
How and when to apply synthetic division of two polynomials
👉 Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for...
Brian McLogan
Find the missing sides of a triangle given a 30 60 90 triangle
👉 Learn about the special right triangles. A special right triangle is a right triangle having angles of 30, 60, 90, or 45, 45, 90. Knowledge of the ratio of the length of sides of a special right triangle enables us to solve for any...
Brian McLogan
How does phase shift affect your graph
👉 Learn the basics of graphing trigonometric functions. The graphs of trigonometric functions are cyclical graphs which repeats itself for every period. To graph the parent graph of a trigonometric function, we first identify the...
Brian McLogan
When given the radius and angle, learn how to find the arc length
👉 Learn how to solve problems with arc lengths. You will learn how to find the arc length of a sector, the angle of a sector, or the radius of a circle. An arc of a circle is the curve between a pair of points on the circumference of the...
Brian McLogan
Learn how to determine the reference angle of an angle in terms of pi
👉 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
Adding Polynomials
👉 Learn how to add polynomials. To add polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you have...
Brian McLogan
Graph an equation with fractions using the intercept method (mistake)
👉 Learn how to graph linear equations written in standard form. When given a linear equation in standard form, to graph the equation, we first rewrite the linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is...
Brian McLogan
Graphing a linear equation in slope intercept form
👉 Learn how to graph linear equations with one variable. When given a linear equation with one variable in the form x = a or y = c, the two forms of linear equations results in a vertical and horizontal lines respectively. The graph of...
Brian McLogan
MASTER How to graph a quadratic in standard form using the formula for axis of symmetry and vertex
Welcome, ladies and gentlemen. So what I'd like to do is show you how to graph a quadratic using the equation for a vertex as well as axis of symmetry. Now, I have two functions and I have two equations, and they're basically going to be...
Brian McLogan
Determine end behavior using limit notation
👉 Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Brian McLogan
Finding the solution to an equation by graphing
In this video series I show you how to solve a system of equations by graphing. When solving a system of equations by graphing we graph each equation separately and then analyze where the two lines intersect or if at all. If the two...
Brian McLogan
Finding end behavior of a polynomial not in standard form
👉 Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Brian McLogan
Algebra 2 - Simplifying the division of a real number by the imaginary unit i, -17/i
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...
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Indices - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow steps. This video...
Brian McLogan
What is standard form of a quadratic
👉 Learn the essentials for graphing a quadratic equation. 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 can either...
Brian McLogan
Solving 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...