Brian McLogan
Converting to vertex form and identifying 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
Identify the vertex, domain and range from 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
Learn how to find the value c that completes the square with a fraction, x^2 + 5x + c
π 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 center and radius of a circle with completing the square
Want more math video lessons? Visit my website to view all of my math videos organized by course, chapter and section. The purpose of posting my free video tutorials is to not only help students learn math but allow teachers the...
Brian McLogan
What does solving a quadratic mean
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...
Brian McLogan
Learn how to complete the square by factoring out a term
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
Writing the formula of a polynomial given complex zeros
π Learn how to write the equation of a polynomial when given complex 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
Factor out a fraction to complete the square and 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
Writing the equation of a polynomial given complex zeros
π Learn how to write the equation of a polynomial when given complex 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
How to math transfer and equation from standard form to vertex form
π Learn how to write a quadratic equation from standard form to vertex form by completing the square. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. It is of the form f(x) = ax^2 + bx + c. Given a...
Brian McLogan
Writing the equation of a polynomial given three different zeros
π 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
Completing the square to convert between quadratic and vertex form
π Learn how to write a quadratic equation from standard form to vertex form by completing the square. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. It is of the form f(x) = ax^2 + bx + c. Given a...
Brian McLogan
Given three zeros learn how to write the equation of a polynomial
π 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
Conics identify the parts of a circle by completing the square
Learn how to graph the equation of a circle by completing the square. Completing the square will allow us to transform the equation of a circle from general form to standard form. When the equation is in standard form we can identify the...
Brian McLogan
Learn how to graph a rational expression with symmetry about the origin
π Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
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
Using multiple properties of exponents to simplify an expression
π Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...
Brian McLogan
Graph an ellipse by completing the square to write in standard form
Learn how to graph horizontal ellipse which equation is in general form. A horizontal ellipse is an ellipse which major axis is horizontal. When the equation of an ellipse is written in the general form, we first rewrite it in standard...
Brian McLogan
Simplifying expressions using the rules of exponents, quotient property
π Learn how to simplify expressions using the quotient rule and the negative exponent rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base...
Brian McLogan
Factoring a trinomial by first factoring out a fraction
πLearn 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
Completing the square and finding the x intercepts
In this math tutorial I will show you how to sketch a quadratic function, find the axis of symmetry, determine the y-intercepts and find the zeros or x-intercepts. To find the x-intercepts we use such methods as setting the equation...
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...
Curated Video
How to Conquer Completing the Square with Non-One Coefficients
This video will provide a procedural checklist for the method completing the square to solve a quadratic equation when the value of a is not 1 when written in standard form. Topics covered - solving a quadratic equation, finding the...
Brian McLogan
Converting between quadratic and vertex form by completing the square
π Learn how to write a quadratic equation from standard form to vertex form by completing the square. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. It is of the form f(x) = ax^2 + bx + c. Given a...