Brian McLogan
Graph a quadratic equation with vertex and line of symmetry
๐ 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...
Brian McLogan
Solving trigonometric equations
๐ Learn how to solve trigonometric equations using the zero product property. The zero product property states that when the product of two quantities is equal to 0, then either of the quantities is zero. When solving factored...
Tarver Academy
Finding the y intercept of a Quadratic Equation
In This Episode, Tyler Teaches Us About Finding the y intercept of a Quadratic Equation
Brian McLogan
Factoring out using the diamond method when a is greater than one
๐Learn how to factor quadratics when the coefficient of the term with a squared variable is not 1. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To...
Brian McLogan
Solving using the square method but first factoring out a gcf ex 11, y = 2x^2 - 50
๐Learn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
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
Learning how to determine end behavior of any polynomial
๐ 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
Identifying the vertex and axis of symmetry by completing the square
๐ 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...
Curated Video
Sketching Quadratics with a โ 1: Finding Turning Points and Intercepts
The video is a lecture presentation on how to sketch quadratic graphs when the value of "a" is not equal to 1. The lecturer explains the basics of quadratic graphs, including their U or N shapes, turning points, and lines of symmetry....
FuseSchool
Quadratic Sequences: nth Term
In this video we look at quadratic sequences, and how to find the nth term for them. In quadratic sequences, the first difference changes every time. So instead, we look at the second differences. If the second difference is constant,...
Brian McLogan
Factoring an expression with a greater than one and two square variables 8x^2 -6xy -9y^2
๐Learn how to factor quadratics when the coefficient of the term with a squared variable is not 1. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To...
Brian McLogan
Understanding transformations of quadratics in vertex form
๐ 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
Graphing the reciprocal function with a reflection
๐ Learn how to graph the reciprocal function. A reciprocal function is a rational function whose expression of the variable is in the denominator. A reciprocal function is of the form f(x) = a / (x + h) + k, where h is the vertical...
Curated Video
How to Conquer Completing the Square Part A
Learn how to conquer solving a quadratic equation using the method completing the square. Part A, this video, will provide an organized list of steps to complete the square when a=1. The concept of perfect square trinomials will be...
Brian McLogan
Three different ways to solve using difference of two squares, n^2 - 9/25 = 0
๐Learn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares but looking for binomials that have square terms. Difference of two square quadratic equations is of the...
KnowMo
Solving Quadratics by Completing the Square
This is a lecture presentation on solving quadratic equations by completing the square. The presenter explains the process of completing the square, provides examples, and walks through the steps to solve for X.
Brian McLogan
Finding the Amplitude and Period of a Trigonometric Graph
๐ Learn how to graph a cosine function. To graph a cosine 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...
Brian McLogan
Learning to solve by factoring when a is not 1 ex 12, y = 3x^2 + 7x + 2
we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors...
Brian McLogan
Learn how to factor a trinomial when a is one using the box method, x^2 + 7x + 10
๐Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get...
Brian McLogan
Factoring trinomials using the diamond method, x^2 + 14x - 15
๐Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get...
Brian McLogan
How to determine the number of solutions when solving quadratics
๐ Learn how to graph a quadratic equation in standard form. To do this we will explore multiple methods such as the intercept method, identifying the vertex, axis of symmetry and identifying points on the graph using a table. Once you...
Brian McLogan
Factoring using difference of two squares, x^2 - 9, 16x^4 - 100y^2, 4(4x^4 - 25y^2)
๐Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then...
Brian McLogan
12 Quadratics Solved | Completing the Square
In this video I work through 12 examples of solving quadratic equations using the square root method and completing the square. Even though we could solve each quadratic equation by factoring or completing the square I go through the...
Brian McLogan
Identify the x intercepts and vertex of an equation in vertex form ex 6, y=(x-4)^2 -4
๐ 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...