Brian McLogan
What is a parabola and its parts
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
How to complete the square with fractions then solve the equation
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...
Brian McLogan
Graphing and describing transformations of a quadratic equation
π Learn how to graph quadratic equations in vertex form. 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
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...
FuseSchool
Reciprocal Graphs
Reciprocal functions are actually extremely important. Isaac Newton deduced that the forces needed to hold planets in orbits is a reciprocal relationship with the squares of their distances. Radioactive isotopes decay reciprocally, and...
Brian McLogan
Learning to complete the square to solve a quadratic equation
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
Calculator Trick - Table of Values
Use this quick calculator trick to help you generate the table of values, giving you the coordinates to plot onto a graph. Your calculator saves you time, and means you will not make mistakes substituting in values into the equation.
Brian McLogan
Value k that makes the quadratic piecewise function continuous
π Learn how to find the value that makes a function continuous. When given a piecewise function which has a hole at some point or at some interval, we fill the hole at the point or over the interval by looking for the value of the...
Brian McLogan
Solve the equation by using the square root property
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...
Brian McLogan
Solve using the perfect square trinomial factoring technique
πLearn how to solve a quadratic equation by factoring a perfect square trinomial. A perfect square trinomial quadratic equation is of the form y = x^2 +2cx + c^2, where c is a perfet square. There are couple of ways we can solve a...
Brian McLogan
Solve by factoring out GCF
πLearn 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
Solve by using the quadratic formula
π 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...
Curated Video
Algebraic Division with Long Division: Polynomials Divided by Linear Expressions
This video is a lecture presentation on algebraic division, specifically using long division to divide polynomials by a linear expression. The instructor explains the cover up system and demonstrates how to use it to solve two examples -...
Brian McLogan
Identify the parts and graph a parabola
π Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic...
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
How do you solve quadratic equation
πLearn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic...
Virtually Passed
Polar Coordinates Example 1
Here we solve for the speed of a plane using polar coordinate formulas.
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Sequences - 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
Learn how to solve an equation 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...
Curated Video
Analyzing the Domain and Range of Quadratic Functions through Graphs
This video demonstrates how to identify the domain and range using real numbers and inequalities represented on a parabolic graph. The domain is the set of all possible x-values, while the range is the set of all possible y-values.
Brian McLogan
Solving a factored quadratic equation using the zero product property
πLearn how to solve a quadratic equation using the zero product property. When a quadratic equation has been factored or is given in factored form, we can solve the quadratic equation by applying the zero product property. The zero...