Brian McLogan
Converting between quadratic and vertex form by completing the square
👉 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
Graph a quadratic by completing the square by factoring out a negative 1
👉 Learn how to graph quadratic equations by completeing 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
Completing the square in three examples
👉 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
Completing the square
👉 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 completing the square
👉 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 by factoring out a negative one
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
Learn how to complete the square to solve a quadratic
👉 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
Finding the Maximum or Minimum Value of a Quadratic Function by Completing the Square
In this video, the teacher explains how to find the maximum or minimum value of a quadratic function by completing the square and writing the function in vertex form. They provide examples and demonstrate how to determine the least value...
Brian McLogan
Solving a quadratic by completing the square
👉 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
Solving a quadratic by completing the square
👉 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
👉 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
Graphing a basic quadratic function using a table
👉 Learn how to graph quadratics in standard form. 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...
Why U
Algebra 67 - Deriving the Vertex Form of a Quadratic Function
The graph of a quadratic function in a single variable is always a parabola, and when the function is written in vertex form, we can identify the coordinates of the parabola's vertex simply by looking at the function. But how is the...
Brian McLogan
What are the key characteristics 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...
Brian McLogan
Summary for characteristics of a quadratic in vertex form
👉 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
Finding the axis of symmetry for a parabola and graph
👉 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...
Curated Video
Identifying Maximums and Minimums with Vertex Form
In this lesson, students will learn about the different forms of quadratic functions and how they can provide valuable information about the function. They will explore the vertex form of a quadratic function and understand how it can...
Curated Video
Writing Quadratic Equations in Vertex Form
In this video, students learn how to find the maximum height of a baseball hit into the air by writing its quadratic function equation in vertex form. By completing the square, they can easily identify the vertex of the parabolic...
Curated Video
Writing Quadratic Equations in Vertex Form by Completing the Square
In this video, the teacher explains how writing a parabola in vertex form helps solve application problems. They go through the process of completing the square to find the vertex form of a quadratic equation. The video also demonstrates...
Professor Dave Explains
Graphing Conic Sections Part 3: Parabolas in Standard Form
Looking at conic sections.
Curated Video
Exploring Quadratic Functions: Zeroes, Extremes, and Symmetry
In this video, the teacher explains how to use different forms of quadratic functions to solve problems. They review the three equal forms of quadratic functions: standard form, vertex form, and factored form. The teacher demonstrates...
Curated Video
Graphing Quadratic Equations: Vertex Form and Leading Coefficient
In this video, the teacher explains how to graph quadratic equations using vertex form and the leading coefficient. They demonstrate how to complete the square and find the vertex of the equation, and then use the leading coefficient to...
Curated Video
Exploring Vertical Translations of Quadratic Equations
In this lesson, students will learn about vertical translations in quadratic equations. They will explore different representations of quadratic functions and understand how changes in the equation affect the graph. By examining the...
Curated Video
Finding Extreme Values and Symmetry using Vertex Form of Quadratic Functions
In this video, the teacher explains how to convert quadratic equations from standard form to vertex form in order to solve problems when the coefficient "a" is greater than one. They also discuss finding extreme values and lines of...