Parabolas 7
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Lesson Summary:
In this lesson, we learn about the two basic forms of a parabola, and how to find the vertex and axis of symmetry using a formula. We apply this to graphing a function in the form of f(x) = ax^2 + bx + c, where we use the formula x = -b/2a to find the axis of symmetry and the vertex as (h,k). We also learn that the value of a determines whether the parabola opens upward or downward, and the steepness of the curve. This lesson provides a good foundation for understanding and graphing parabolas.
Lesson Description:
Graphing Parabolas Part 7;
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How do you find the vertex and axis of symmetry for a parabola?
- What is the formula for finding the vertex and axis of symmetry of a parabola in the form f(x) = ax^2 + bx + c?
- How do you graph f(x) = -3x^2 + 6x + 4?
- What are the two basic forms of a parabola and how can you work with them?
- How do you find the vertex and axis of symmetry for an equation in standard form?
- What is the vertex and axis of symmetry of f(x) = -3x^2 + 6x + 4?
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Staff Review
This lesson transitions you from vertex form of a parabolic equation into standard form for a quadratic equation. Standard form is more difficult to use to find the vertex and axis of symmetry for the parabola. There are equations for finding these values that are shown in this lesson and explained in future lessons. An equation in standard form is also graphed.
