In this lesson, students will learn about horizontal scaling of quadratic equations. They will explore how the functions F of X, G of X, and H of X are alike and different, and how the value of "a" in the vertex form of the equation...

In this lesson, students will learn about vertical scaling in quadratic equations. They will explore how the functions F of X and H of X are alike and different, and understand the concept of vertical stretching and compressing. By...

In this video, the teacher explains how to write the equation of a parabola using different methods. They also demonstrate how to solve systems of equations and find the vertex of a parabola. The video concludes by applying these...

In this lesson, students will learn how to find extreme values and lines of symmetry using the vertex form of quadratic functions. They will review the three equal forms of quadratic functions: standard form, vertex form, and complete...

Solutions to Problem 21.

A quadratic function can be written in general form or in vertex form. But given a quadratic function in one of these forms, how can we convert to the other form? This lecture shows how conversion formulas between these two forms can...

In this lesson, students will learn about horizontal translations of quadratic equations. They will explore different representations and understand how the functions F of X and G of X are alike and different.

Definitions are very important to your understanding of why and how we use mathematical processes. Without understanding what a process or certain terms mean it is very hard to understand how or why to do something. That is why I want to...

👉 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...

In this video, the teacher explains how to determine the optimal production level for a company to maximize revenue and minimize costs using quadratic functions in vertex form. The teacher demonstrates how to complete the square to find...

Learn how to rewrite a quadratic expression so that all of the variable terms are contained in a perfect square. We explore this process using area blocks and show how to complete the square in an expression. We also emphasizes the...

In this lesson you will learn how to determine whether the vertex of a quadratic function is a maximum or a minimum by determining the value of "a".

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...

👉 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...

In this video, you will learn how to rewrite quadratic functions in standard form to reveal the vertex. By completing the square, you can manipulate the function into vertex form, which allows for easy identification of the vertex.

👉Learn 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...

Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and...

Learn how to graph a parabola in when it is given in general form. To graph a parabola in conic sections we will need to convert the equation from general form to standard form by completing the square. Once it is in standard form we can...

👉 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...

👉 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...

👉 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...

👉 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...

We will learn how to graph a quadratic in vertex form and graph a quadratic in standard form by completing the square and rewriting the equation in vertex form. When the quadratic is in vertex form we learn how to identify the axis of...

👉 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...