Parabolas 5

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Taught by YourMathGal
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Lesson Summary:

In this lesson on Parabolas, the focus is on graphing functions in the form of f of x equals a x squared. The lesson covers five different parabolas and their corresponding graphs. It is explained that if the coefficient a is greater than 0, the parabola opens up, and if it is less than 0, it opens down. Additionally, if the absolute value of a is greater than 1, the parabola is steeper, and if it is less than 1, it is wider. The axis of symmetry is the y-axis, and the vertex for all parabolas in this form is at (0, 0). This lesson is a great introduction for those looking to understand the basics of graphing parabolas.

Lesson Description:

Graphing Parabolas Part 5;

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Questions answered by this video:
  • How do you graph a parabola?
  • How do you know whether a parabola will open upward or downward?
  • How do you graph a parabola of the form f(x) = ax^2?
  • How do you graph f(x) = x^2?
  • How do you graph f(x) = (1/2)x^2?
  • How do you graph f(x) = -2x^2?
  • How do you graph f(x) = (-2/3)x^2?
  • How do you graph f(x) = (1/4)x^2?
  • How does the number in front of x^2 affect how wide or narrow a parabola will be?
  • How do you find the vertex and axis of symmetry of a parabola?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson shows how the coefficient of the x^2 term affects the graph of a parabola. This number affects how wide or narrow the parabola is. Also, it tells you whether the parabola opens upward or downward. This lesson will show you how to graph the parabolas using a table.