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.
Curated OER
Zona Land: Conic Sections the Parabola
Shows the graph of a parabola and how it slices a conic section.
Sophia Learning
Sophia: Finding Information of a Parabola From Its Equation: Lesson 2
Determine the vertex and axis of symmetry of a parabola, given its equation. This lesson is 2 of 3 in the series titled "Finding Information of a Parabola from its Equation."
Sophia Learning
Sophia: Finding Information of a Parabola From Its Equation: Lesson 3
Determine the vertex and axis of symmetry of a parabola, given its equation. This lesson is 3 of 3 in the series titled "Finding Information of a Parabola from its Equation."
Sophia Learning
Sophia: Finding Information of a Parabola From Its Equation: Lesson 1
Determine the vertex and axis of symmetry of a parabola, given its equation. This lesson is 1 of 3 in the series titled "Finding Information of a Parabola from its Equation."
Sophia Learning
Sophia: Finding the Axis of Symmetry of a Parabola: Lesson 1
This lesson shows how to determine the equation for the axis of symmetry of a parabola on a graph. It is 1 of 8 in the series titled "Finding the Axis of Symmetry of a Parabola."
Sophia Learning
Sophia: Vertex Format
This lesson introduces the vertex format for parabolic equations.
Sophia Learning
Sophia: Vertex Format: Lesson 5
This lesson introduces the vertex format for parabolic equations. It is 5 of 5 in the series titled "Vertex Format."
Sophia Learning
Sophia: Vertex Format: Lesson 1
This lesson introduces the vertex format for parabolic equations. It is 1 of 5 in the series titled "Vertex Format."
Sophia Learning
Sophia: Width in Parabolas
In this lesson the width of the graph of parabola and its relationship to the equation of the parabola are discussed.