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
👉 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
👉Learn 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
👉Learn 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
👉 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)
👉Learn 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
👉 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
What are the x and y intercepts of a quadratic equation
👉 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...
KnowMo
Factorising Quadratics - Understanding the Process and Methods
The video is a lecture presentation on the topic of factorizing quadratics in algebra. The speaker provides an overview of the concept, emphasizing that factorizing is the reverse of expanding and involves putting the quadratic...
Curated Video
Factorizing Quadratics: Advanced Methods and Difference of Two Squares
The video provides a tutorial on factorizing quadratics with a coefficient of 'a' greater than one. The presenter explains how to use a variation of the sum and product rule to find the two numbers that add up to the linear coefficient...
Brian McLogan
Learn how to visualize factoring
👉Learn the basics of factoring quadratics by using different techniques. Some of the techniques used in factoring quadratics include: when the coefficient of the squared term is not 1. In that case, we first write the quadratic in...
Brian McLogan
Factoring using the difference of two squares with multiple terms, 64m^2 - 9y^2
👉Learn 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
How to find the value c that completes the square of a quadratic, x^2 - 20x + c
👉 Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants....
Brian McLogan
Find the zeros and multiplicity by factoring a polynomial
👉 Learn how to find all the zeros of a polynomial that cannot be easily factored. 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 zeros...
Brian McLogan
Algebra 2 - Applying the quotient property of logarithms to solve an equation
In this video series I will show you how to apply the properties of logarithms to solve an equation. The three main properties of logarithms we will focus on will be the product, quotient, and power rule of exponents. We will apply these...
Brian McLogan
Determine the domain and range of a quadratic by rewriting in vertex 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
Complete the square to find the vertex and determine absolute max or min
👉 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
Graphing Quadratic Functions and Transformations
In this lesson, we will learn how to graph quadratic functions in the form F of X equals ax squared. We will review vocabulary, characteristics of quadratic functions, and two transformations: vertical shrink and vertical stretch. We...
Brian McLogan
Learn How to Use Inverse Operations to Solve Radical Expressions
👉 Learn how to solve radical (square root) equations having one radical term. To solve a radical (square root) equation having one radical terms, we isolate the radical term by placing it in one side of the equation. Next, we get rid of...
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
What are the transformations for exponential graphs
👉 Learn all about graphing exponential functions. An exponential function is a function whose value increases rapidly. To graph an exponential function, it is usually useful to first graph the parent function (without transformations)....