Parabolas 6
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Lesson Summary:
In this lesson, we learn how to graph quadratic functions in the form y = a(x-h)^2+k. By identifying the vertex and axis of symmetry, we can sketch the parabola and determine if it opens up or down, and if it's wider or steeper than the standard parabola y = x^2. The lesson also provides an example problem for students to practice. The video concludes by briefly mentioning that not all quadratic functions will be in this form and introduces the next lesson on graphing quadratic functions in general form.
Lesson Description:
Graphing Parabolas Part 6;
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How do you graph a parabola?
- How do you find the vertex point and axis of symmetry for a parabola of the form f(x) = a(x - h)^2 + k?
- How do you know what points to pick to put into the equation to graph a quadratic equation to make a parabola?
- How do you know whether a parabola will open upward or downward?
- How do you know whether a parabola moves to the right, left, up, or down from the equation?
- How do you graph a parabola of the form f(x) = a(x - h)^2 + k?
- How do you know whether a parabola will be narrow or steep?
- How do you graph y = 1/2(x + 1)^2 - 3?
- How do you graph y = -2(x + 3)^2 + 8?
- How do you sketch y = -3(x + 5)^2 - 7?
- How do you sketch y = 2/5x^2 + 6?
- What does each letter or variable stand for in f(x) = a(x - h)^2 + k?
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Staff Review
This lesson graphs some parabolas by putting together all of the parts of a quadratic equation in vertex form. All of the parts of the equation are used to determine what the graph will look like. A table of values is not used to graph these parabolas. The parabolas are also sketched just by using the rough idea of what each part of the equation means.
