Investigate the Quadratic Equation - Parabola
- Author:
- Fillmore Corpus
- Topic:
- Algebra
Use the sliders a, b, and c to modify the quadratic equation (2).
1) What happens when a < 0, a = 0, or a > 0?
2) How would you describe point A for each of the above values of a?
3) For each set of values for a, b, and c verify the coordinates of point A using fomula (3).
4) What do you observe about the values of h and k in equation (1), relative to the x and y coordinates of point A? What can you conclude?
5) Simplify equation (1) and show that h = the x coordinate of formula (3).
6) What is the equation of the blue dashed line?