Sophia Learning
Sophia: Quadratic Equations With One Solution
The mathematics resource includes a video tutorial about quadratics. The lesson discusses how to identify from the graph of a quadratic equation when there is only one real solution.
Sophia Learning
Sophia: Quadratic Functions Are Nonlinear
Quadratic functions are nonlinear functions that create parabolas when graphed.
Sophia Learning
Sophia: The Standard Equation for a Parabola
This lesson uses the geometric definition of a parabola to derive its equation in standard form. Students can watch a video tutorial to learn the concept and then practice the skill by taking a quiz.
Khan Academy
Khan Academy: Algebra: Conic Sections: Parabola Focus and Directrix 1
A video lesson that proves that a parabola is made up of all the points that are equidistant from a point called the focus to a line called the directrix. [14:31]
Sophia Learning
Sophia: Graphing Quadratic Functions
This video lesson demonstrates how to create a table and graph for a quadratic function. Students can check their understanding with an assessment.
Virtual Nerd
Virtual Nerd: How Do You Make a Table for a Quadratic Function?
To see how to make a table of values for a quadratic equation, take a look at this tutorial. [6:19]
PatrickJMT
Patrick Jmt: Conic Sections: Parabolas, Part 1
This video tutorial discusses a quick way to roughly sketch a parabola. [7:22]
Other
Study Pug: Quadratic Functions Explained, Simplified and Made Easy
Quickly master how to find characteristics of quadratic functions by watching this video tutorial. [7:46]
Khan Academy
Khan Academy: Parabola Vertex and Axis of Symmetry
Video defining the vertex and axis of symmetry for a parabola. The vertex is found for a specific function by completing the square to change the equation from standard form to vertex form and then reasoning through the equation.
Khan Academy
Khan Academy: Analyzing Functions: Shifting Functions
Video giving an overview of the square root sign. Positive values are then chosen to evaluate the basic quadratic and square root functions, the points are graphed, and the graphs are compared. Graphs are also created with an online...
Study Pug
Study Pug: Characteristics of Quadratic Functions
In this video tutorial, students will learn about the three properties that are universal to all quadratic functions. [7:46]
Khan Academy
Khan Academy: Weighted Average of Two Points
This video [3:56] lesson focuses on how to bridge two worlds: the world of images and geometry and the world of algebra, numbers, and equations. We will develop a formula that will allow us to compute points exactly on the parabola. And...
Khan Academy
Khan Academy: Introduction to Parabolic Arcs
This video [1:14] lesson is an introduction to Parabolic Arcs. What do parabolic arcs have to do with blades of grass?
Khan Academy
Khan Academy: 1. String Art
Find out how we can make curved lines using straight ones using the string art construction. Click here to see Vi Hart's video on this technique.
Khan Academy
Khan Academy: Parabolic Arcs (Video)
You're now an expert on midpoints, so let's take the next step. I've been claiming that the curves created with the string art construction are parabolas. But how do we know that's actually true? This video [1:11] lesson will explain.
Khan Academy
Khan Academy: String Art (Video)
In this video [2:55] lesson, they talk about some of the ways that math was used to create the forest in Brave. So the question is, how are they going to represent parabolic arcs in a way that artists can deal with, but computers can...
Khan Academy
Khan Academy: 1. Weighted Average of Two Points
How can we calculate a weighted average between two points? (pssst. This video is super important)
Khan Academy
Khan Academy: 3. Compute the Touching Point
Let's apply what we just learned to calculate the touching point. You can explore the interactive program used in this video here.
Khan Academy
Khan Academy: 2. Where Is the Touching Point?
Where does the string touch the parabola? See if you can come up with your hypothesis!
Khan Academy
Khan Academy: 3. Parabolic Arcs
Are we really creating parabolic curves using this construction? Let's gain some insight first.
Khan Academy
Khan Academy: 4. Modeling Grass
Next let's build a blade of grass using a parabolic arc as a spine. Click here to review perpendicular lines.
Khan Academy
Khan Academy: Bonus: Completing the Proof
One way we can prove that we are calculating the actual touching point.
Khan Academy
Khan Academy: 4. How Can We Prove This?
Okay we know how to calculate the touching point, great! Next let's think about how we can prove this is true.