Brian McLogan
Completing the square by creating a fraction to graph a quadratic in vertex form
π 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
Identify the vertex and max min 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
How to verify if a point lies on a graph using vertex form of a quadratic
π Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
Brian McLogan
Learn how to solve a quadratic using 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 | 28 Examples
In this video I will show you hwo to complete the square by working through 28 different examples. We will focus on basic completing the square problems when a=1.
Brian McLogan
Graphing a quadratic equation with a vertical stretch and shift
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...
Brian McLogan
How to graph a parabola in vertex form with a vertical compression
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...
Brian McLogan
What you need to know: Conic Sections
In this video I attempt to prepare you for our chapter on Conic Sections. We will do this by first covering completing the square and then identifying the midpoint as well as endpoint when given two points. We will then work on writing...
Brian McLogan
Graphing a Parabola with a vertical shift
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...
Brian McLogan
Find the vertex of a parabola using transformations
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
Write the quadratic in vertex form from standard form
Write the quadratic in vertex form from standard form
Brian McLogan
Student Mistakes with COMPLETING THE SQUARE
Completing the square is a common process that students struggle with that I am no stranger to. In this video I will highlight the mistakes I made as well as my students.
Brian McLogan
Standard form to vertex form of a quadratic
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
Vertex max or max using 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 graph a parabola in vertex form with multiple transformations
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...
Brian McLogan
Learn how to write the equation of a parabola given the vertex and a point
π Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
Brian McLogan
Complete the square to find the vertex of a parabola
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 write the equation of a parabola given the vertex and a point on the graph
π Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
Brian McLogan
Transfer an equation standard form to vertex form when b is not divisible
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
When Completing the Square Gets Hard | Part #4
In this video we will explore some of the key elements students need to know when completing the square gets more difficult. this deals with fractions 00:00 intro 02:50 x^2-8x=10 05:46 x^2+5x+3 08:18 3x^2=-12x-1 10:57 2x^2+7x-20=0
Brian McLogan
Learn how to find the domain and range including the vertex and axis of symmetry
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...
Brian McLogan
MASTER How to write the equation of a parabola in vertex and standard form given the vertex and thro
MASTER How to write the equation of a parabola in vertex and standard form given the vertex and thro
Brian McLogan
How to write an equation in standard and vertex form given a point and vertex
π Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
Brian McLogan
Choosing the right method | Completing the Square
πIn this video I look at two different techniques for completing the square. Do you have a favorite method or know when one type is prefered over another?