Brian McLogan
Learn to complete the square to write a quadratic in vertex form
π 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
Learn how to complete the square and identify the vertex, domain and range
π 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
Learn How to Solve a Radical Equation and Check Your Answers
π 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
Complete the square to identify the vertex, axis, domain and range of a quadratic equation
π 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
Solving a quadratic by applying the square root method
πLearn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
FuseSchool
Drawing Quadratic Graphs
Learn how to plot quadratic curves, using a table of values. Quadratic curves are either a U shape, if they are positive quadratics, or upside down U if they are a negative quadratic. To plot them onto a graph, substitute in x-values...
Brian McLogan
Learn to graph a line in slope intercept form
π 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...
FuseSchool
Difference Of Two Squares - Factorising Quadratics
In this video we discover what the difference of two squares means and how to factorise these βspecialβ quadratics. To factorise these quadratics, you need to know the square numbers. Any expression that has x-squared as the highest...
FuseSchool
Completing the Square - Part 2
Completing the Square - Part 2 | Algebra | Maths | FuseSchool In PART 1 (https://youtu.be/wvfZs4Rsx3Y) we looked at how to complete the square so you should already know the process to follow but if you arenβt sure watch that first. In...
Brian McLogan
Completing the square in three examples
π Learn how to complete the square to solve a quadratic equation. Completing the square is allows us to create a binomial squared so that we can solve using the square root method. Solving by completing the square is preferred when a...
FuseSchool
Solving Quadratics By Factorising
Quadratics using have an x-squared, an x term and a number on itβs own (known as a constant). There are a few different ways to solve quadratics: factorising, using the quadratic formula or by completing the square. In this video we look...
Brian McLogan
Multiplicity matters - Real zeros of polynomial functions
Multiplicity matters - Real zeros of polynomial functions
Brian McLogan
What is a quadratic function
π 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...
FuseSchool
Completing The Square - Quadratics
Completing The Square - Quadratics | Algebra | Maths | FuseSchool Completing the square is another way of solving quadratics (as well as by factorising and by using the quadratic formula). Completing the square will always work, whatever...
KnowMo
Solving Quadratics: Factorizing and Using the Quadratic Formula
This video explains how to solve quadratic equations either by factorizing or by using the quadratic formula. The instructor first describes how to factorize a quadratic equation using the sum and product method to convert it into double...
Brian McLogan
Solving a quadratic by completing the square
π Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Brian McLogan
Completing the square with fractions to find the vertex
π 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
Identifying the transformations of a quadratic by completing the square
π 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
Soft sound solving quadratics by completing the square
π Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
FuseSchool
Completing The Square - Plotting Quadratics
Completing The Square - Plotting Quadratics | Algebra | Maths | FuseSchool Completing the square is another way of solving quadratics (as well as by factorising and by using the quadratic formula). Completing the square will always work,...
Brian McLogan
What are the key characteristics of a quadratic equation
π 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
Summary for characteristics of a quadratic in vertex form
π Learn how to graph a quadratic equation in vertex form by applying transformations such as horizontal/vertical shift, horizontal/vertical compression stretch and reflections. If the equation is not in vertex form, then we will apply...
Brian McLogan
What is factoring
πLearn 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
Finding the axis of symmetry for a parabola and graph
π Learn the basics to understanding graphing quadratics. 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...