Parabolas 2
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Lesson Summary:
In this lesson, we learn how to graph parabolas of the form f(x) = x^2 + c and f(x) = -x^2 + c, where c is a constant. We see that the first equation is a parabola that opens upwards and has the vertex at (0, c) and the y-axis as its axis of symmetry. The second equation is a parabola that opens downwards and also has the vertex at (0, c) and the y-axis as its axis of symmetry. We also learn how to find the vertex and the equation of the axis of symmetry for both types of parabolas.
Lesson Description:
Graphing Parabolas Part 2;
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?
- 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^2 + 7?
- How do you graph the function y = -x^2 + 4?
- How do the graphs of y = x^2 and y = -x^2 differ?
- What does the number added or subtracted at the end of a quadratic function do to the graph of a parabola?
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Staff Review
This lesson shows how to graph parabolas just like the previous lessons in this series, but the parabolas graphed in this lesson all have a negative sign in front of x^2, which make the parabolas face downward. All steps involved in graphing these quadratic equations are shown and explained.
