Parabolas 3
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Lesson Summary:
In this lesson on parabolas, we learn how to graph parabolas of the form f(x) = (x-h)^2. By plugging in values of x and solving for y, we can plot the points and graph the parabolas. We also learn that the value of h determines the direction and amount of the horizontal shift, and that the vertex of the parabola is at (h,0) and the axis of symmetry is x = h. By the end of the lesson, we can graph parabolas quickly and efficiently without having to plot every single point.
Lesson Description:
Graphing Parabolas Part 3;
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) = (x - h)^2?
- 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 graph the function f(x) = x^2?
- How do you graph the function f(x) = (x - 1)^2?
- How do you graph the function f(x) = (x - 1)^2?
- How do you graph the function f(x) = (x + 2)^2?
- How do you graph the function f(x) = (x + 1)^2?
- What does the number added or subtracted inside the parentheses of a quadratic function do to the graph of a parabola?
- How do you graph a parabola of the form f(x) = (x - h)^2?
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Staff Review
This lesson looks more at transformations of parabolas. This lesson shows what happens when you add or subtract numbers to the x inside the parentheses. All steps involved in graphing and analyzing the graphs are shown and explained. This is another great tutorial in learning to graph parabolas.
