Investigate the Quadratic Equation - Parabola
- Fillmore Corpus
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?